56184960 has 128 divisors (see below), whose sum is σ = 192951360. Its totient is φ = 13824000.

The previous prime is 56184937. The next prime is 56185001. The reversal of 56184960 is 6948165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23835 + ... + 26085.

Almost surely, 2^56184960 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 56184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96475680).

56184960 is an abundant number, since it is smaller than the sum of its proper divisors (136766400).

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

56184960 is a wasteful number, since it uses less digits than its factorization.

56184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 56184960 is about 7495.6627458818. The cubic root of 56184960 is about 383.0069829003.

The spelling of 56184960 in words is "fifty-six million, one hundred eighty-four thousand, nine hundred sixty".