56610 has 48 divisors (see below), whose sum is σ = 160056. Its totient is φ = 13824.

The previous prime is 56599. The next prime is 56611. The reversal of 56610 is 1665.

56610 is a `hidden beast` number, since 5 + 661 + 0 = 666.

56610 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56169 + 441 = 237^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1512 + ... + 1548.

2⁵⁶⁶¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80028).

56610 is an abundant number, since it is smaller than the sum of its proper divisors (103446).

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

56610 is a wasteful number, since it uses less digits than its factorization.

56610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56610 is about 237.9285607068. The cubic root of 56610 is about 38.3970375319.

Subtracting from 56610 its reverse (1665), we obtain a palindrome (54945).

It can be divided in two parts, 566 and 10, that added together give a square (576 = 24²).

The spelling of 56610 in words is "fifty-six thousand, six hundred ten".