56456640 has 84 divisors (see below), whose sum is σ = 194197224. Its totient is φ = 15054336.

The previous prime is 56456633. The next prime is 56456641. The reversal of 56456640 is 4665465.

It is a happy number.

56456640 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 6 + 640 = 666.

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 = 56456595 and 56456604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56456641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6922 + ... + 12681.

Almost surely, 2^56456640 is an apocalyptic number.

It is an amenable number.

56456640 is an abundant number, since it is smaller than the sum of its proper divisors (137740584).

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

56456640 is a wasteful number, since it uses less digits than its factorization.

56456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19626 (or 19613 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56456640 is about 7513.7633713074. The cubic root of 56456640 is about 383.6233285547.

The spelling of 56456640 in words is "fifty-six million, four hundred fifty-six thousand, six hundred forty".