88566 has 16 divisors (see below), whose sum is σ = 183600. Its totient is φ = 28448.

The previous prime is 88547. The next prime is 88589. The reversal of 88566 is 66588.

88566 = 31² + 32² + ... + 66².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2⁸⁸⁵⁶⁶ is an apocalyptic number.

88566 is an abundant number, since it is smaller than the sum of its proper divisors (95034).

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 (91800).

88566 is a wasteful number, since it uses less digits than its factorization.

88566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543.

The product of its digits is 11520, while the sum is 33.

The square root of 88566 is about 297.6004032255. The cubic root of 88566 is about 44.5747596599.

The spelling of 88566 in words is "eighty-eight thousand, five hundred sixty-six".