56764160 has 72 divisors (see below), whose sum is σ = 138386976. Its totient is φ = 22302720.

The previous prime is 56764151. The next prime is 56764163. The reversal of 56764160 is 6146765.

It is a self number, because there is not a number n which added to its sum of digits gives 56764160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56764163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77717 + ... + 78443.

Almost surely, 2^56764160 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 56764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69193488).

56764160 is an abundant number, since it is smaller than the sum of its proper divisors (81622816).

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

56764160 is an equidigital number, since it uses as much as digits as its factorization.

56764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 56764160 is about 7534.1993602506. The cubic root of 56764160 is about 384.3186013270.

The spelling of 56764160 in words is "fifty-six million, seven hundred sixty-four thousand, one hundred sixty".