56366160 has 160 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 13883904.

The previous prime is 56366159. The next prime is 56366161. The reversal of 56366160 is 6166365.

It is an interprime number because it is at equal distance from previous prime (56366159) and next prime (56366161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56366161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214189 + ... + 214451.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 2^56366160 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 56366160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

56366160 is an abundant number, since it is smaller than the sum of its proper divisors (132193200).

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

56366160 is a wasteful number, since it uses less digits than its factorization.

56366160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 56366160 is about 7507.7400061536. The cubic root of 56366160 is about 383.4182815308.

The spelling of 56366160 in words is "fifty-six million, three hundred sixty-six thousand, one hundred sixty".