65580 has 24 divisors (see below), whose sum is σ = 183792. Its totient is φ = 17472.

The previous prime is 65579. The next prime is 65581. The reversal of 65580 is 8556.

It is an interprime number because it is at equal distance from previous prime (65579) and next prime (65581).

It is a self number, because there is not a number n which added to its sum of digits gives 65580.

It is not an unprimeable number, because it can be changed into a prime (65581) 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, 487 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (7658).

2⁶⁵⁵⁸⁰ is an apocalyptic number.

65580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65580 is an abundant number, since it is smaller than the sum of its proper divisors (118212).

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 (91896).

65580 is a wasteful number, since it uses less digits than its factorization.

65580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

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

The square root of 65580 is about 256.0859230805. The cubic root of 65580 is about 40.3264944502.

Subtracting from 65580 its sum of digits (24), we obtain a palindrome (65556).

The spelling of 65580 in words is "sixty-five thousand, five hundred eighty".