56627640 has 64 divisors (see below), whose sum is σ = 188762400. Its totient is φ = 15100416.

The previous prime is 56627617. The next prime is 56627687. The reversal of 56627640 is 4672665.

56627640 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 7 + 640 = 666.

It is a super-2 number, since 2×56627640² = 6413379223939200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 56627595 and 56627604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25137 + ... + 27296.

Almost surely, 2^56627640 is an apocalyptic number.

It is an amenable number.

56627640 is an abundant number, since it is smaller than the sum of its proper divisors (132134760).

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

56627640 is a wasteful number, since it uses less digits than its factorization.

56627640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52453 (or 52443 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56627640 is about 7525.1338858521. The cubic root of 56627640 is about 384.0102536325.

The spelling of 56627640 in words is "fifty-six million, six hundred twenty-seven thousand, six hundred forty".