11664624 has 40 divisors (see below), whose sum is σ = 30256000. Its totient is φ = 3872448.

The previous prime is 11664619. The next prime is 11664637. The reversal of 11664624 is 42646611.

It is a super-2 number, since 2×11664624² = 272126906122752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11664591 and 11664600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23127 + ... + 23625.

It is an arithmetic number, because the mean of its divisors is an integer number (756400).

Almost surely, 2^11664624 is an apocalyptic number.

It is an amenable number.

11664624 is an abundant number, since it is smaller than the sum of its proper divisors (18591376).

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

11664624 is a wasteful number, since it uses less digits than its factorization.

11664624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 11664624 is about 3415.3512264480. The cubic root of 11664624 is about 226.7898331000.

The spelling of 11664624 in words is "eleven million, six hundred sixty-four thousand, six hundred twenty-four".