56620 has 24 divisors (see below), whose sum is σ = 126000. Its totient is φ = 21312.

The previous prime is 56611. The next prime is 56629. The reversal of 56620 is 2665.

It is an interprime number because it is at equal distance from previous prime (56611) and next prime (56629).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (56629) by changing a digit.

56620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (5250).

2⁵⁶⁶²⁰ 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 56620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63000).

56620 is an abundant number, since it is smaller than the sum of its proper divisors (69380).

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

56620 is a wasteful number, since it uses less digits than its factorization.

56620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 56620 is about 237.9495744901. The cubic root of 56620 is about 38.3992983089.

It can be divided in two parts, 56 and 620, that added together give a palindrome (676).

The spelling of 56620 in words is "fifty-six thousand, six hundred twenty".