88504 has 32 divisors (see below), whose sum is σ = 191520. Its totient is φ = 38016.

The previous prime is 88499. The next prime is 88513. The reversal of 88504 is 40588.

88504 = T₇ + T₈ + ... + T₈₀.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2374 + ... + 2410.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁸⁸⁵⁰⁴ 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 88504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

88504 is an abundant number, since it is smaller than the sum of its proper divisors (103016).

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

88504 is a wasteful number, since it uses less digits than its factorization.

88504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 88504 is about 297.4962184634. The cubic root of 88504 is about 44.5643558171.

The spelling of 88504 in words is "eighty-eight thousand, five hundred four".