11880864 has 48 divisors (see below), whose sum is σ = 34655040. Its totient is φ = 3960000.

The previous prime is 11880863. The next prime is 11880893. The reversal of 11880864 is 46808811.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11880863) 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, 6012 + ... + 7739.

It is an arithmetic number, because the mean of its divisors is an integer number (721980).

Almost surely, 2^11880864 is an apocalyptic number.

It is an amenable number.

11880864 is an abundant number, since it is smaller than the sum of its proper divisors (22774176).

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

11880864 is a wasteful number, since it uses less digits than its factorization.

11880864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13770 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 11880864 is about 3446.8629215564. The cubic root of 11880864 is about 228.1826790788.

The spelling of 11880864 in words is "eleven million, eight hundred eighty thousand, eight hundred sixty-four".