56168980 has 48 divisors (see below), whose sum is σ = 135749376. Its totient is φ = 19123200.

The previous prime is 56168971. The next prime is 56168989. The reversal of 56168980 is 8986165.

It is an interprime number because it is at equal distance from previous prime (56168971) and next prime (56168989).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56168989) 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, 19812 + ... + 22468.

It is an arithmetic number, because the mean of its divisors is an integer number (2828112).

Almost surely, 2^56168980 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 56168980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67874688).

56168980 is an abundant number, since it is smaller than the sum of its proper divisors (79580396).

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

56168980 is a wasteful number, since it uses less digits than its factorization.

56168980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 56168980 is about 7494.5967203046. The cubic root of 56168980 is about 382.9706681289.

The spelling of 56168980 in words is "fifty-six million, one hundred sixty-eight thousand, nine hundred eighty".