56220768 has 72 divisors (see below), whose sum is σ = 169297128. Its totient is φ = 17636352.

The previous prime is 56220743. The next prime is 56220779. The reversal of 56220768 is 86702265.

56220768 is a `hidden beast` number, since 562 + 20 + 76 + 8 = 666.

56220768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 846 + ... + 10637.

It is an arithmetic number, because the mean of its divisors is an integer number (2351349).

Almost surely, 2^56220768 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 56220768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84648564).

56220768 is an abundant number, since it is smaller than the sum of its proper divisors (113076360).

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

56220768 is a wasteful number, since it uses less digits than its factorization.

56220768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56220768 is about 7498.0509467461. The cubic root of 56220768 is about 383.0883320816.

The spelling of 56220768 in words is "fifty-six million, two hundred twenty thousand, seven hundred sixty-eight".