11624640 has 56 divisors (see below), whose sum is σ = 36911280. Its totient is φ = 3099648.

The previous prime is 11624633. The next prime is 11624653. The reversal of 11624640 is 4642611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11624640.

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, 5095 + ... + 7014.

It is an arithmetic number, because the mean of its divisors is an integer number (659130).

Almost surely, 2^11624640 is an apocalyptic number.

11624640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11624640 is an abundant number, since it is smaller than the sum of its proper divisors (25286640).

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

11624640 is a wasteful number, since it uses less digits than its factorization.

11624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12129 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11624640 is about 3409.4926308763. The cubic root of 11624640 is about 226.5304063775.

The spelling of 11624640 in words is "eleven million, six hundred twenty-four thousand, six hundred forty".