56716320 has 96 divisors (see below), whose sum is σ = 179952192. Its totient is φ = 15014912.

The previous prime is 56716279. The next prime is 56716327. The reversal of 56716320 is 2361765.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56716327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82699 + ... + 83381.

It is an arithmetic number, because the mean of its divisors is an integer number (1874502).

Almost surely, 2^56716320 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 56716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89976096).

56716320 is an abundant number, since it is smaller than the sum of its proper divisors (123235872).

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

56716320 is a wasteful number, since it uses less digits than its factorization.

56716320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 56716320 is about 7531.0238347784. The cubic root of 56716320 is about 384.2106049586.

The spelling of 56716320 in words is "fifty-six million, seven hundred sixteen thousand, three hundred twenty".