ls -l --block-size=M will give you a long format listing (needed to actually see the file size) and round file sizes up to the nearest MiB.
If you want MB (10^6 bytes) rather than MiB (2^20 bytes) units, use --block-size=MB instead.
If you don't want the M suffix attached to the file size, you can use something like --block-size=1M. Thanks @StephaneChazelas for suggesting this.
This is described in the man page for ls; man ls and search for SIZE. It allows for units other than MB/MiB as well, and from the looks of it (I didn't try that) arbitrary block sizes as well (so you could see the file size as number of 412-byte blocks, if you want to).
Note that the --block-size parameter is a GNU extension on top of the Open Group's ls, so this may not work if you don't have a GNU userland (which most Linux installations do). The ls from GNU coreutils 8.5 does support --block-size as described above. Thanks to @kojiro for pointing this out.