Awards are given for a variety of things on the site. Some of them, like photo of the day, are awarded automatically. Others are assigned by moderators. The more you use the site, the more you're likely to get all of them.
The number shown is the count of members that have earned that specific award.
Note that there are many more awards available but they will be hidden until someone wins them.
We will tell you that there is even an award for finding secret awards, so have fun!