56168880 has 80 divisors (see below), whose sum is σ = 175060224. Its totient is φ = 14897920.

The previous prime is 56168863. The next prime is 56168897. The reversal of 56168880 is 8886165.

It is an interprime number because it is at equal distance from previous prime (56168863) and next prime (56168897).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53965 + ... + 54995.

Almost surely, 2^56168880 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 56168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87530112).

56168880 is an abundant number, since it is smaller than the sum of its proper divisors (118891344).

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

56168880 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (56168879) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1274).

56168880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 56168880 is about 7494.5900488286. The cubic root of 56168880 is about 382.9704408558.

The spelling of 56168880 in words is "fifty-six million, one hundred sixty-eight thousand, eight hundred eighty".