89904 has 20 divisors (see below), whose sum is σ = 232376. Its totient is φ = 29952.

The previous prime is 89899. The next prime is 89909. The reversal of 89904 is 40998.

It is an interprime number because it is at equal distance from previous prime (89899) and next prime (89909).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89909) by changing a digit.

89904 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, 889 + ... + 984.

2⁸⁹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

89904 is an abundant number, since it is smaller than the sum of its proper divisors (142472).

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 (116188).

89904 is a wasteful number, since it uses less digits than its factorization.

89904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 89904 is about 299.8399573106. The cubic root of 89904 is about 44.7981079133.

The spelling of 89904 in words is "eighty-nine thousand, nine hundred four".