There are many reasons for the names of the hats. I can give a bit of background on why/how I picked some of the names.
The theme of numbers started with the naming for the silver and gold badge hats. Various ideas were tossed around, until I settled on the names 24 and 925. The 24 was for 24 karat gold, and 925 is for the stamp that is typically on sterling silver = .925.
Once I had two hats with numbers, I decided to just continue the theme for several others.
I wanted a pair of characters for hats and somehow happened upon Bert & Ernie from Sesame Street. Once I found them, I discovered their favorite numbers and the 6 & 8,243,721 hats were created.
Bert's favorite number is 6 ... Ernie's whose favorite number is 8,243,721
The 180° hat is a secret hat so I won't fully disclose the reason for picking the number, but it might have something to do with actions on the site.
Finally, 011 was chosen because you get the hat when you get 11 hats. This was named after Eleven on Stranger Things who happens to have a tattoo with '011', so it fit perfectly. The character also loves waffles, and wears a pink shirt with a blue jacket.
It wasn't my intention to have so many hats with numbers, but once it started I just ran with it.