87204 has 36 divisors (see below), whose sum is σ = 225456. Its totient is φ = 26208.

The previous prime is 87187. The next prime is 87211. The reversal of 87204 is 40278.

It is a happy number.

It is a plaindrome in base 14.

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 11 ways as a sum of consecutive naturals, for example, 2007 + ... + 2049.

2⁸⁷²⁰⁴ 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 87204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112728).

87204 is an abundant number, since it is smaller than the sum of its proper divisors (138252).

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

87204 is a wasteful number, since it uses less digits than its factorization.

87204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 87204 is about 295.3032339816. The cubic root of 87204 is about 44.3450826580.

The spelling of 87204 in words is "eighty-seven thousand, two hundred four".