56637360 has 160 divisors (see below), whose sum is σ = 210194880. Its totient is φ = 13934592.

The previous prime is 56637323. The next prime is 56637367. The reversal of 56637360 is 6373665.

56637360 is a `hidden beast` number, since 566 + 37 + 3 + 60 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (56637367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27072 + ... + 29088.

It is an arithmetic number, because the mean of its divisors is an integer number (1313718).

Almost surely, 2^56637360 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 56637360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105097440).

56637360 is an abundant number, since it is smaller than the sum of its proper divisors (153557520).

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

56637360 is a wasteful number, since it uses less digits than its factorization.

56637360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 56637360 is about 7525.7796938258. The cubic root of 56637360 is about 384.0322238583.

The spelling of 56637360 in words is "fifty-six million, six hundred thirty-seven thousand, three hundred sixty".