56840 has 48 divisors (see below), whose sum is σ = 153900. Its totient is φ = 18816.

The previous prime is 56827. The next prime is 56843. The reversal of 56840 is 4865.

56840 = 8² + 9² + ... + 55².

It can be written as a sum of positive squares in 2 ways, for example, as 56644 + 196 = 238^2 + 14^2 .

It is not an unprimeable number, because it can be changed into a prime (56843) by changing a digit.

56840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1946 + ... + 1974.

2⁵⁶⁸⁴⁰ 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 56840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76950).

56840 is an abundant number, since it is smaller than the sum of its proper divisors (97060).

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

56840 is a wasteful number, since it uses less digits than its factorization.

56840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 56840 is about 238.4114091230. The cubic root of 56840 is about 38.4489681998.

The spelling of 56840 in words is "fifty-six thousand, eight hundred forty".