Odd-abundant number

An abundant number is a number whose factors have a sum greater than two times the original number. For example, 20 is an abundant number because it's factors are 1,2,4,5,10, and 20, and their sum is 42 which is greater than 40. The first few abundant numbers are...

12,18,20,24,30,36,40,42,48,...

Notice that the first few abundant numbers are all even. Are there any odd-abundant numbers? It turns out there are, and the smallest one is 945. What's remarkable is that this property provides a naturally occurring example of a relatively large number (in the hundreds). The first few odd-abundant numbers are...

945,1575,2205,2835,3465,...