87504 has 20 divisors (see below), whose sum is σ = 226176. Its totient is φ = 29152.

The previous prime is 87491. The next prime is 87509. The reversal of 87504 is 40578.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87509) by changing a digit.

87504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 864 + ... + 959.

2⁸⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

87504 is an abundant number, since it is smaller than the sum of its proper divisors (138672).

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 (113088).

87504 is a wasteful number, since it uses less digits than its factorization.

87504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 87504 is about 295.8107503117. The cubic root of 87504 is about 44.3958765751.

The spelling of 87504 in words is "eighty-seven thousand, five hundred four".