56606160 has 80 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 13933056.

The previous prime is 56606159. The next prime is 56606161. The reversal of 56606160 is 6160665.

It is an interprime number because it is at equal distance from previous prime (56606159) and next prime (56606161).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56606161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5952 + ... + 12191.

Almost surely, 2^56606160 is an apocalyptic number.

It is an amenable number.

56606160 is an abundant number, since it is smaller than the sum of its proper divisors (132381744).

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

56606160 is a wasteful number, since it uses less digits than its factorization.

56606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18172 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 56606160 is about 7523.7065333518. The cubic root of 56606160 is about 383.9616932274.

The spelling of 56606160 in words is "fifty-six million, six hundred six thousand, one hundred sixty".