56598640 has 80 divisors (see below), whose sum is σ = 151418880. Its totient is φ = 19272960.

The previous prime is 56598631. The next prime is 56598671. The reversal of 56598640 is 4689565.

56598640 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 (80).

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 15 ways as a sum of consecutive naturals, for example, 117921 + ... + 118399.

It is an arithmetic number, because the mean of its divisors is an integer number (1892736).

Almost surely, 2^56598640 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 56598640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75709440).

56598640 is an abundant number, since it is smaller than the sum of its proper divisors (94820240).

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

56598640 is a wasteful number, since it uses less digits than its factorization.

56598640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 56598640 is about 7523.2067630765. The cubic root of 56598640 is about 383.9446896609.

The spelling of 56598640 in words is "fifty-six million, five hundred ninety-eight thousand, six hundred forty".