Running R scripts
I've written an R script to take arguments of a file name and sum the lines.
#! /usr/local/bin/R
file=commandArgs(trailingOnly=TRUE)[1]
sum(as.numeric(readLines(file)))
This can be sped up with the "data.table" or "vroom" package as follows:
#! /usr/local/bin/R
file=commandArgs(trailingOnly=TRUE)[1]
sum(data.table::fread(file))
#! /usr/local/bin/R
file=commandArgs(trailingOnly=TRUE)[1]
sum(vroom::vroom(file))
Benchmarking
Same benchmarking data as @glenn jackman.
for ((i=0; i<1000000; i++)) ; do echo $RANDOM; done > random_numbers
In comparison to the R call above, running R 3.5.0 as a script is comparable to other methods (on the same Linux Debian server).
$ time R -e 'sum(scan("random_numbers"))'  
 0.37s user
 0.04s system
 86% cpu
 0.478 total
R script with readLines
$ time Rscript sum.R random_numbers
  0.53s user
  0.04s system
  84% cpu
  0.679 total
R script with data.table
$ time Rscript sum.R random_numbers     
 0.30s user
 0.05s system
 77% cpu
 0.453 total
R script with vroom
$ time Rscript sum.R random_numbers     
  0.54s user 
  0.11s system
  93% cpu
  0.696 total
Comparison with other languages
For reference here as some other methods suggested on the same hardware
Python 2 (2.7.13)
$ time python2 -c "import sys; print sum((float(l) for l in sys.stdin))" < random_numbers 
 0.27s user 0.00s system 89% cpu 0.298 total
Python 3 (3.6.8)
$ time python3 -c "import sys; print(sum((float(l) for l in sys.stdin)))" < random_number
0.37s user 0.02s system 98% cpu 0.393 total
Ruby (2.3.3)
$  time ruby -e 'sum = 0; File.foreach(ARGV.shift) {|line| sum+=line.to_i}; puts sum' random_numbers
 0.42s user
 0.03s system
 72% cpu
 0.625 total
Perl (5.24.1)
$ time perl -nle '$sum += $_ } END { print $sum' random_numbers
 0.24s user
 0.01s system
 99% cpu
 0.249 total
Awk (4.1.4)
$ time awk '{ sum += $0 } END { print sum }' random_numbers
 0.26s user
 0.01s system
 99% cpu
 0.265 total
$ time awk '{ sum += $1 } END { print sum }' random_numbers
 0.34s user
 0.01s system
 99% cpu
 0.354 total
C (clang version 3.3; gcc (Debian 6.3.0-18) 6.3.0 )
 $ gcc sum.c -o sum && time ./sum < random_numbers   
 0.10s user
 0.00s system
 96% cpu
 0.108 total
Update with additional languages
Lua (5.3.5)
$ time lua -e 'sum=0; for line in io.lines() do sum=sum+line end; print(sum)' < random_numbers 
 0.30s user 
 0.01s system
 98% cpu
 0.312 total
tr (8.26) must be timed in bash, not compatible with zsh
$time { { tr "\n" + < random_numbers ; echo 0; } | bc; }
real    0m0.494s
user    0m0.488s
sys 0m0.044s
sed (4.4) must be timed in bash, not compatible with zsh
$  time { head -n 10000 random_numbers | sed ':a;N;s/\n/+/;ta' |bc; }
real    0m0.631s
user    0m0.628s
sys     0m0.008s
$  time { head -n 100000 random_numbers | sed ':a;N;s/\n/+/;ta' |bc; }
real    1m2.593s
user    1m2.588s
sys     0m0.012s
note: sed calls seem to work faster on systems with more memory available (note smaller datasets used for benchmarking sed)
Julia (0.5.0)
$ time julia -e 'print(sum(readdlm("random_numbers")))'
 3.00s user 
 1.39s system 
 136% cpu 
 3.204 total
$  time julia -e 'print(sum(readtable("random_numbers")))'
 0.63s user 
 0.96s system 
 248% cpu 
 0.638 total
Notice that as in R, file I/O methods have different performance.