56910 has 32 divisors (see below), whose sum is σ = 156672. Its totient is φ = 12960.

The previous prime is 56909. The next prime is 56911. The reversal of 56910 is 1965.

56910 = T₁₂₄ + T₁₂₅ + ... + T₁₃₀.

It is an interprime number because it is at equal distance from previous prime (56909) and next prime (56911).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56911) 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, 75 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (4896).

2⁵⁶⁹¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78336).

56910 is an abundant number, since it is smaller than the sum of its proper divisors (99762).

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

56910 is a wasteful number, since it uses less digits than its factorization.

56910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

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

The square root of 56910 is about 238.5581690071. The cubic root of 56910 is about 38.4647453736.

Subtracting from 56910 its reverse (1965), we obtain a palindrome (54945).

The spelling of 56910 in words is "fifty-six thousand, nine hundred ten".