56076768 has 144 divisors (see below), whose sum is σ = 179891712. Its totient is φ = 16416000.

The previous prime is 56076743. The next prime is 56076821. The reversal of 56076768 is 86767065.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97923 + ... + 98493.

It is an arithmetic number, because the mean of its divisors is an integer number (1249248).

Almost surely, 2^56076768 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 56076768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89945856).

56076768 is an abundant number, since it is smaller than the sum of its proper divisors (123814944).

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

56076768 is a wasteful number, since it uses less digits than its factorization.

56076768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 56076768 is about 7488.4422946298. The cubic root of 56076768 is about 382.7609804209.

The spelling of 56076768 in words is "fifty-six million, seventy-six thousand, seven hundred sixty-eight".