56856 has 32 divisors (see below), whose sum is σ = 149760. Its totient is φ = 17952.

The previous prime is 56843. The next prime is 56857. The reversal of 56856 is 65865.

56856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁵⁶⁸⁵⁶ is an apocalyptic number.

56856 is the 138-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

56856 is an abundant number, since it is smaller than the sum of its proper divisors (92904).

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

56856 is a wasteful number, since it uses less digits than its factorization.

56856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 56856 is about 238.4449622030. Note that the first 3 decimals coincide. The cubic root of 56856 is about 38.4525755525.

Subtracting 56856 from its reverse (65865), we obtain a palindrome (9009).

The spelling of 56856 in words is "fifty-six thousand, eight hundred fifty-six".