56537820 has 72 divisors (see below), whose sum is σ = 177428160. Its totient is φ = 14555520.

The previous prime is 56537809. The next prime is 56537821. The reversal of 56537820 is 2873565.

56537820 is a `hidden beast` number, since 565 + 3 + 78 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56537821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196 + ... + 10635.

It is an arithmetic number, because the mean of its divisors is an integer number (2464280).

Almost surely, 2^56537820 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 56537820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88714080).

56537820 is an abundant number, since it is smaller than the sum of its proper divisors (120890340).

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

56537820 is a wasteful number, since it uses less digits than its factorization.

56537820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 56537820 is about 7519.1635173070. The cubic root of 56537820 is about 383.8071134140.

The spelling of 56537820 in words is "fifty-six million, five hundred thirty-seven thousand, eight hundred twenty".