56316960 has 288 divisors, whose sum is σ = 227066112. Its totient is φ = 12441600.

The previous prime is 56316959. The next prime is 56316961. The reversal of 56316960 is 6961365.

56316960 is a `hidden beast` number, since 563 + 1 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56316959) and next prime (56316961).

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 not an unprimeable number, because it can be changed into a prime (56316961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372885 + ... + 373035.

It is an arithmetic number, because the mean of its divisors is an integer number (788424).

Almost surely, 2^56316960 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 56316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113533056).

56316960 is an abundant number, since it is smaller than the sum of its proper divisors (170749152).

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

56316960 is a wasteful number, since it uses less digits than its factorization.

56316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 56316960 is about 7504.4626723037. The cubic root of 56316960 is about 383.3066917002.

The spelling of 56316960 in words is "fifty-six million, three hundred sixteen thousand, nine hundred sixty".