88536 has 64 divisors (see below), whose sum is σ = 276480. Its totient is φ = 23040.

The previous prime is 88523. The next prime is 88547. The reversal of 88536 is 63588.

88536 = 64² + 65² + ... + 80².

Its product of digits (5760) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2841 + ... + 2871.

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

2⁸⁸⁵³⁶ 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 88536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

88536 is an abundant number, since it is smaller than the sum of its proper divisors (187944).

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

88536 is a wasteful number, since it uses less digits than its factorization.

88536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 60 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 88536 is about 297.5499957990. The cubic root of 88536 is about 44.5697261489.

The spelling of 88536 in words is "eighty-eight thousand, five hundred thirty-six".