56186496 has 192 divisors, whose sum is σ = 181396800. Its totient is φ = 16588800.

The previous prime is 56186491. The next prime is 56186503. The reversal of 56186496 is 69468165.

56186496 is a `hidden beast` number, since 561 + 86 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (311040) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56186491) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 372021 + ... + 372171.

It is an arithmetic number, because the mean of its divisors is an integer number (944775).

Almost surely, 2^56186496 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 56186496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90698400).

56186496 is an abundant number, since it is smaller than the sum of its proper divisors (125210304).

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

56186496 is a wasteful number, since it uses less digits than its factorization.

56186496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 56186496 is about 7495.7652044338. The cubic root of 56186496 is about 383.0104731188.

The spelling of 56186496 in words is "fifty-six million, one hundred eighty-six thousand, four hundred ninety-six".