56486160 has 200 divisors, whose sum is σ = 205254720. Its totient is φ = 14370048.

The previous prime is 56486153. The next prime is 56486167. The reversal of 56486160 is 6168465.

56486160 is a `hidden beast` number, since 5 + 648 + 6 + 1 + 6 + 0 = 666.

56486160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56486153) and next prime (56486167).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56486167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148851 + ... + 149229.

Almost surely, 2^56486160 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 56486160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102627360).

56486160 is an abundant number, since it is smaller than the sum of its proper divisors (148768560).

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

56486160 is a wasteful number, since it uses less digits than its factorization.

56486160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56486160 is about 7515.7275096959. The cubic root of 56486160 is about 383.6901797845.

The spelling of 56486160 in words is "fifty-six million, four hundred eighty-six thousand, one hundred sixty".