56538720 has 288 divisors, whose sum is σ = 226437120. Its totient is φ = 12579840.

The previous prime is 56538659. The next prime is 56538721. The reversal of 56538720 is 2783565.

56538720 is a `hidden beast` number, since 56 + 538 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (56538721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715641 + ... + 715719.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^56538720 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 56538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

56538720 is an abundant number, since it is smaller than the sum of its proper divisors (169898400).

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

56538720 is a wasteful number, since it uses less digits than its factorization.

56538720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

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

The square root of 56538720 is about 7519.2233641514. The cubic root of 56538720 is about 383.8091499539.

The spelling of 56538720 in words is "fifty-six million, five hundred thirty-eight thousand, seven hundred twenty".