85560 has 64 divisors (see below), whose sum is σ = 276480. Its totient is φ = 21120.

The previous prime is 85549. The next prime is 85571. The reversal of 85560 is 6558.

It is an interprime number because it is at equal distance from previous prime (85549) and next prime (85571).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 85560.

It is a congruent number.

It is an unprimeable number.

85560 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 15 ways as a sum of consecutive naturals, for example, 2745 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁸⁵⁵⁶⁰ 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 85560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

85560 is an abundant number, since it is smaller than the sum of its proper divisors (190920).

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

85560 is a wasteful number, since it uses less digits than its factorization.

85560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

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

The square root of 85560 is about 292.5064101862. The cubic root of 85560 is about 44.0646432738.

The spelling of 85560 in words is "eighty-five thousand, five hundred sixty".