56826 has 48 divisors (see below), whose sum is σ = 157248. Its totient is φ = 14400.

The previous prime is 56821. The next prime is 56827. The reversal of 56826 is 62865.

Its product of digits (2880) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 56826.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56826.

It is not an unprimeable number, because it can be changed into a prime (56821) by changing a digit.

56826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2⁵⁶⁸²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

56826 is an abundant number, since it is smaller than the sum of its proper divisors (100422).

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

56826 is a wasteful number, since it uses less digits than its factorization.

56826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 64 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 56826 is about 238.3820463038. The cubic root of 56826 is about 38.4458112109.

The spelling of 56826 in words is "fifty-six thousand, eight hundred twenty-six".