88560 has 80 divisors (see below), whose sum is σ = 312480. Its totient is φ = 23040.

The previous prime is 88547. The next prime is 88589. The reversal of 88560 is 6588.

88560 = T₁ + T₂ + ... + T₈₀.

88560 is a nontrivial binomial coefficient, being equal to C(82, 3).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3 and base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88560.

It is an unprimeable number.

88560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 80-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140 + ... + 2180.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2⁸⁸⁵⁶⁰ is an apocalyptic number.

88560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

88560 is an abundant number, since it is smaller than the sum of its proper divisors (223920).

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

88560 is a wasteful number, since it uses less digits than its factorization.

88560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 88560 is about 297.5903224233. The cubic root of 88560 is about 44.5737530487.

The spelling of 88560 in words is "eighty-eight thousand, five hundred sixty".