Recursively counting files in a Linux directory

Question

How can I recursively count files in a Linux directory?

I found this:

find DIR_NAME -type f ¦ wc -l

But when I run this it returns

Answer 1

There are many correct answers here. Here's another!

find . -type f | sort | uniq -w 10 -c

where . is the folder to look in and 10 is the number of characters by which to group the directory.