56179968 has 144 divisors (see below), whose sum is σ = 171009216. Its totient is φ = 16220160.

The previous prime is 56179933. The next prime is 56180027. The reversal of 56179968 is 86997165.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 56179968.

It is a congruent number.

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, 169563 + ... + 169893.

It is an arithmetic number, because the mean of its divisors is an integer number (1187564).

Almost surely, 2^56179968 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 56179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85504608).

56179968 is an abundant number, since it is smaller than the sum of its proper divisors (114829248).

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

56179968 is a wasteful number, since it uses less digits than its factorization.

56179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 56179968 is about 7495.3297459151. The cubic root of 56179968 is about 382.9956392507.

The spelling of 56179968 in words is "fifty-six million, one hundred seventy-nine thousand, nine hundred sixty-eight".