56916 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 17280.

The previous prime is 56911. The next prime is 56921. The reversal of 56916 is 61965.

It is an interprime number because it is at equal distance from previous prime (56911) and next prime (56921).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821 + ... + 1851.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵⁶⁹¹⁶ 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 56916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

56916 is an abundant number, since it is smaller than the sum of its proper divisors (104364).

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

56916 is a wasteful number, since it uses less digits than its factorization.

56916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 56916 is about 238.5707442249. The cubic root of 56916 is about 38.4660971007.

It can be divided in two parts, 569 and 16, that added together give a palindrome (585).

The spelling of 56916 in words is "fifty-six thousand, nine hundred sixteen".