56720664 has 192 divisors, whose sum is σ = 206519040. Its totient is φ = 13582080.

The previous prime is 56720663. The next prime is 56720683. The reversal of 56720664 is 46602765.

56720664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56720663) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 71679 + ... + 72465.

It is an arithmetic number, because the mean of its divisors is an integer number (1075620).

Almost surely, 2^56720664 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 56720664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103259520).

56720664 is an abundant number, since it is smaller than the sum of its proper divisors (149798376).

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

56720664 is a wasteful number, since it uses less digits than its factorization.

56720664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56720664 is about 7531.3122362574. The cubic root of 56720664 is about 384.2204138241.

The spelling of 56720664 in words is "fifty-six million, seven hundred twenty thousand, six hundred sixty-four".