56808 has 32 divisors (see below), whose sum is σ = 158400. Its totient is φ = 18864.

The previous prime is 56807. The next prime is 56809. The reversal of 56808 is 80865.

56808 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (56807) and next prime (56809).

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

It is not an unprimeable number, because it can be changed into a prime (56807) 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, 85 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

2⁵⁶⁸⁰⁸ 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 56808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79200).

56808 is an abundant number, since it is smaller than the sum of its proper divisors (101592).

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

56808 is a wasteful number, since it uses less digits than its factorization.

56808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56808 is about 238.3442887925. The cubic root of 56808 is about 38.4417514631.

The spelling of 56808 in words is "fifty-six thousand, eight hundred eight".