56588064 has 48 divisors (see below), whose sum is σ = 159973632. Its totient is φ = 17411328.

The previous prime is 56588057. The next prime is 56588071. The reversal of 56588064 is 46088565.

It is an interprime number because it is at equal distance from previous prime (56588057) and next prime (56588071).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21424 + ... + 23919.

It is an arithmetic number, because the mean of its divisors is an integer number (3332784).

Almost surely, 2^56588064 is an apocalyptic number.

It is an amenable number.

56588064 is an abundant number, since it is smaller than the sum of its proper divisors (103385568).

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

56588064 is a wasteful number, since it uses less digits than its factorization.

56588064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45369 (or 45361 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 56588064 is about 7522.5038384836. The cubic root of 56588064 is about 383.9207735858.

The spelling of 56588064 in words is "fifty-six million, five hundred eighty-eight thousand, sixty-four".