56345660 has 48 divisors (see below), whose sum is σ = 137270784. Its totient is φ = 19027008.

The previous prime is 56345647. The next prime is 56345669. The reversal of 56345660 is 6654365.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 56345660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56345669) 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, 6377 + ... + 12383.

It is an arithmetic number, because the mean of its divisors is an integer number (2859808).

Almost surely, 2^56345660 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 56345660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68635392).

56345660 is an abundant number, since it is smaller than the sum of its proper divisors (80925124).

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

56345660 is a wasteful number, since it uses less digits than its factorization.

56345660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 56345660 is about 7506.3746242777. The cubic root of 56345660 is about 383.3717936626.

The spelling of 56345660 in words is "fifty-six million, three hundred forty-five thousand, six hundred sixty".