11868864 has 56 divisors (see below), whose sum is σ = 35893248. Its totient is φ = 3390720.

The previous prime is 11868827. The next prime is 11868869. The reversal of 11868864 is 46886811.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11868869) 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, 3072 + ... + 5759.

Almost surely, 2^11868864 is an apocalyptic number.

11868864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11868864 is an abundant number, since it is smaller than the sum of its proper divisors (24024384).

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

11868864 is an equidigital number, since it uses as much as digits as its factorization.

11868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8853 (or 8843 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 11868864 is about 3445.1217685301. The cubic root of 11868864 is about 228.1058296019.

The spelling of 11868864 in words is "eleven million, eight hundred sixty-eight thousand, eight hundred sixty-four".