56627520 has 112 divisors (see below), whose sum is σ = 182928768. Its totient is φ = 14837760.

The previous prime is 56627509. The next prime is 56627531. The reversal of 56627520 is 2572665.

It is an interprime number because it is at equal distance from previous prime (56627509) and next prime (56627531).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58077 + ... + 59043.

Almost surely, 2^56627520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91464384).

56627520 is an abundant number, since it is smaller than the sum of its proper divisors (126301248).

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

56627520 is a wasteful number, since it uses less digits than its factorization.

56627520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 56627520 is about 7525.1259125678. The cubic root of 56627520 is about 384.0099823794.

The spelling of 56627520 in words is "fifty-six million, six hundred twenty-seven thousand, five hundred twenty".