11509680 has 320 divisors, whose sum is σ = 47996928. Its totient is φ = 2211840.

The previous prime is 11509679. The next prime is 11509727. The reversal of 11509680 is 8690511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371265 + ... + 371295.

Almost surely, 2^11509680 is an apocalyptic number.

11509680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

11509680 is an abundant number, since it is smaller than the sum of its proper divisors (36487248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11509680 is a wasteful number, since it uses less digits than its factorization.

11509680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 11509680 is about 3392.5919294840. The cubic root of 11509680 is about 225.7811858674.

The spelling of 11509680 in words is "eleven million, five hundred nine thousand, six hundred eighty".