56940 has 48 divisors (see below), whose sum is σ = 174048. Its totient is φ = 13824.

The previous prime is 56929. The next prime is 56941. The reversal of 56940 is 4965.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56940.

It is not an unprimeable number, because it can be changed into a prime (56941) 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, 744 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (3626).

2⁵⁶⁹⁴⁰ is an apocalyptic number.

56940 is the 195-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87024).

56940 is an abundant number, since it is smaller than the sum of its proper divisors (117108).

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

56940 is a wasteful number, since it uses less digits than its factorization.

56940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56940 is about 238.6210384689. The cubic root of 56940 is about 38.4715030592.

The spelling of 56940 in words is "fifty-six thousand, nine hundred forty".