11656880 has 40 divisors (see below), whose sum is σ = 28532400. Its totient is φ = 4416768.

The previous prime is 11656877. The next prime is 11656889. The reversal of 11656880 is 8865611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11656880.

It is not an unprimeable number, because it can be changed into a prime (11656889) 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, 2315 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (713310).

Almost surely, 2^11656880 is an apocalyptic number.

11656880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11656880 is an abundant number, since it is smaller than the sum of its proper divisors (16875520).

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

11656880 is a wasteful number, since it uses less digits than its factorization.

11656880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701 (or 7695 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 11656880 is about 3414.2173334455. The cubic root of 11656880 is about 226.7396343319.

The spelling of 11656880 in words is "eleven million, six hundred fifty-six thousand, eight hundred eighty".