87576 has 32 divisors (see below), whose sum is σ = 226800. Its totient is φ = 28160.

The previous prime is 87559. The next prime is 87583. The reversal of 87576 is 67578.

87576 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

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, 940 + ... + 1028.

2⁸⁷⁵⁷⁶ 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 87576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

87576 is an abundant number, since it is smaller than the sum of its proper divisors (139224).

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

87576 is a wasteful number, since it uses less digits than its factorization.

87576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 87576 is about 295.9324247189. The cubic root of 87576 is about 44.4080498350.

The spelling of 87576 in words is "eighty-seven thousand, five hundred seventy-six".