87588 has 24 divisors (see below), whose sum is σ = 227360. Its totient is φ = 29160.

The previous prime is 87587. The next prime is 87589. The reversal of 87588 is 88578.

It is an interprime number because it is at equal distance from previous prime (87587) and next prime (87589).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87588.

It is not an unprimeable number, because it can be changed into a prime (87583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298 + ... + 513.

2⁸⁷⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

87588 is an abundant number, since it is smaller than the sum of its proper divisors (139772).

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 (113680).

87588 is a wasteful number, since it uses less digits than its factorization.

87588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 87588 is about 295.9526989233. The cubic root of 87588 is about 44.4100780629.

Subtracting 87588 from its reverse (88578), we obtain a triangular number (990 = T₄₄).

The spelling of 87588 in words is "eighty-seven thousand, five hundred eighty-eight".