11580920 has 32 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 4275840.

The previous prime is 11580917. The next prime is 11580929. The reversal of 11580920 is 2908511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11580920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11580929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10616 + ... + 11655.

It is an arithmetic number, because the mean of its divisors is an integer number (876960).

Almost surely, 2^11580920 is an apocalyptic number.

11580920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11580920 is an abundant number, since it is smaller than the sum of its proper divisors (16481800).

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

11580920 is a wasteful number, since it uses less digits than its factorization.

11580920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22295 (or 22291 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 11580920 is about 3403.0750799828. The cubic root of 11580920 is about 226.2460577440.

The spelling of 11580920 in words is "eleven million, five hundred eighty thousand, nine hundred twenty".