56595060 has 72 divisors (see below), whose sum is σ = 172546920. Its totient is φ = 15015168.

The previous prime is 56595059. The next prime is 56595061. The reversal of 56595060 is 6059565.

56595060 is a `hidden beast` number, since 5 + 6 + 595 + 0 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (56595059) and next prime (56595061).

It can be written as a sum of positive squares in 4 ways, for example, as 35856144 + 20738916 = 5988^2 + 4554^2 .

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 (56595061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40534 + ... + 41906.

It is an arithmetic number, because the mean of its divisors is an integer number (2396485).

Almost surely, 2^56595060 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 56595060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86273460).

56595060 is an abundant number, since it is smaller than the sum of its proper divisors (115951860).

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

56595060 is a wasteful number, since it uses less digits than its factorization.

56595060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 56595060 is about 7522.9688288601. The cubic root of 56595060 is about 383.9365943488.

The spelling of 56595060 in words is "fifty-six million, five hundred ninety-five thousand, sixty".