56321664 has 128 divisors (see below), whose sum is σ = 178606080. Its totient is φ = 15375360.

The previous prime is 56321647. The next prime is 56321693. The reversal of 56321664 is 46612365.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61369 + ... + 62279.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 2^56321664 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 56321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303040).

56321664 is an abundant number, since it is smaller than the sum of its proper divisors (122284416).

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

56321664 is a wasteful number, since it uses less digits than its factorization.

56321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 56321664 is about 7504.7760792711. The cubic root of 56321664 is about 383.3173635859.

The spelling of 56321664 in words is "fifty-six million, three hundred twenty-one thousand, six hundred sixty-four".