11577880 has 32 divisors (see below), whose sum is σ = 26893440. Its totient is φ = 4481280.

The previous prime is 11577857. The next prime is 11577883. The reversal of 11577880 is 8877511.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11577883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3429 + ... + 5908.

It is an arithmetic number, because the mean of its divisors is an integer number (840420).

Almost surely, 2^11577880 is an apocalyptic number.

11577880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11577880 is an abundant number, since it is smaller than the sum of its proper divisors (15315560).

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

11577880 is a wasteful number, since it uses less digits than its factorization.

11577880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9379 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 37.

The square root of 11577880 is about 3402.6283958140. The cubic root of 11577880 is about 226.2262594261.

The spelling of 11577880 in words is "eleven million, five hundred seventy-seven thousand, eight hundred eighty".