56580 has 48 divisors (see below), whose sum is σ = 169344. Its totient is φ = 14080.

The previous prime is 56569. The next prime is 56591. The reversal of 56580 is 8565.

56580 = T₆₅ + T₆₆ + ... + T₈₄.

It is an interprime number because it is at equal distance from previous prime (56569) and next prime (56591).

It is a self number, because there is not a number n which added to its sum of digits gives 56580.

It is an unprimeable number.

56580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360 + ... + 1400.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2⁵⁶⁵⁸⁰ 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 56580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

56580 is an abundant number, since it is smaller than the sum of its proper divisors (112764).

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

56580 is a wasteful number, since it uses less digits than its factorization.

56580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 56580 is about 237.8655082184. The cubic root of 56580 is about 38.3902536028.

It can be divided in two parts, 56 and 580, that added together give a palindrome (636).

The spelling of 56580 in words is "fifty-six thousand, five hundred eighty".