56216160 has 576 divisors, whose sum is σ = 265628160. Its totient is φ = 10782720.

The previous prime is 56216159. The next prime is 56216189. The reversal of 56216160 is 6161265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4324314 + ... + 4324326.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 2^56216160 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 56216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132814080).

56216160 is an abundant number, since it is smaller than the sum of its proper divisors (209412000).

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

56216160 is a wasteful number, since it uses less digits than its factorization.

56216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56216160 is about 7497.7436605955. The cubic root of 56216160 is about 383.0778654912.

It can be divided in two parts, 5621 and 6160, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 56216160 in words is "fifty-six million, two hundred sixteen thousand, one hundred sixty".