56532960 has 288 divisors, whose sum is σ = 217945728. Its totient is φ = 13224960.

The previous prime is 56532947. The next prime is 56532967. The reversal of 56532960 is 6923565.

56532960 is a `hidden beast` number, since 565 + 3 + 2 + 96 + 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 (56532967) 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, 681079 + ... + 681161.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 2^56532960 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 56532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

56532960 is an abundant number, since it is smaller than the sum of its proper divisors (161412768).

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

56532960 is a wasteful number, since it uses less digits than its factorization.

56532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56532960 is about 7518.8403361157. The cubic root of 56532960 is about 383.7961157254.

The spelling of 56532960 in words is "fifty-six million, five hundred thirty-two thousand, nine hundred sixty".