56602560 has 112 divisors (see below), whose sum is σ = 205410816. Its totient is φ = 12936192.

The previous prime is 56602543. The next prime is 56602561. The reversal of 56602560 is 6520665.

It is a tau number, because it is divible by the number of its divisors (112).

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 (56602561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2509 + ... + 10931.

Almost surely, 2^56602560 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 56602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102705408).

56602560 is an abundant number, since it is smaller than the sum of its proper divisors (148808256).

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

56602560 is a wasteful number, since it uses less digits than its factorization.

56602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56602560 is about 7523.4672857666. The cubic root of 56602560 is about 383.9535534101.

The spelling of 56602560 in words is "fifty-six million, six hundred two thousand, five hundred sixty".