56190 has 16 divisors (see below), whose sum is σ = 134928. Its totient is φ = 14976.

The previous prime is 56179. The next prime is 56197. The reversal of 56190 is 9165.

56190 = 104² + 105² + ... + 108².

It is a super-2 number, since 2×56190² = 6314632200, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56190.

It is not an unprimeable number, because it can be changed into a prime (56197) 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, 907 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (8433).

2⁵⁶¹⁹⁰ is an apocalyptic number.

56190 is an abundant number, since it is smaller than the sum of its proper divisors (78738).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67464).

56190 is a wasteful number, since it uses less digits than its factorization.

56190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 56190 is about 237.0442996573. The cubic root of 56190 is about 38.3018434942.

Subtracting from 56190 its sum of digits (21), we obtain a square (56169 = 237²).

The spelling of 56190 in words is "fifty-six thousand, one hundred ninety".