56768360 has 96 divisors (see below), whose sum is σ = 144645480. Its totient is φ = 20021760.

The previous prime is 56768359. The next prime is 56768381. The reversal of 56768360 is 6386765.

56768360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43270084 + 13498276 = 6578^2 + 3674^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178922 + ... + 179238.

Almost surely, 2^56768360 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 56768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72322740).

56768360 is an abundant number, since it is smaller than the sum of its proper divisors (87877120).

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

56768360 is a wasteful number, since it uses less digits than its factorization.

56768360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 56768360 is about 7534.4780841144. The cubic root of 56768360 is about 384.3280797157.

The spelling of 56768360 in words is "fifty-six million, seven hundred sixty-eight thousand, three hundred sixty".