56918016 has 96 divisors (see below), whose sum is σ = 165279270. Its totient is φ = 18874368.

The previous prime is 56918011. The next prime is 56918051. The reversal of 56918016 is 61081965.

56918016 is a `hidden beast` number, since 569 + 1 + 80 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 3686400 = 7296^2 + 1920^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56918011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294816 + ... + 295008.

Almost surely, 2^56918016 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 56918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82639635).

56918016 is an abundant number, since it is smaller than the sum of its proper divisors (108361254).

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

56918016 is an equidigital number, since it uses as much as digits as its factorization.

56918016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 56918016 is about 7544.4029584852. The cubic root of 56918016 is about 384.6655125967.

The spelling of 56918016 in words is "fifty-six million, nine hundred eighteen thousand, sixteen".