89304 has 24 divisors (see below), whose sum is σ = 226980. Its totient is φ = 29280.

The previous prime is 89303. The next prime is 89317. The reversal of 89304 is 40398.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89304.

It is not an unprimeable number, because it can be changed into a prime (89303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1434 + ... + 1494.

2⁸⁹³⁰⁴ 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 89304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113490).

89304 is an abundant number, since it is smaller than the sum of its proper divisors (137676).

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

89304 is a wasteful number, since it uses less digits than its factorization.

89304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 89304 is about 298.8377486195. The cubic root of 89304 is about 44.6982277373.

Multiplying 89304 by its sum of digits (24), we get a square (2143296 = 1464²).

89304 divided by its sum of digits (24) gives a square (3721 = 61²).

Multiplying 89304 by its product of nonzero digits (864), we get a square (77158656 = 8784²).

It can be divided in two parts, 89 and 304, that added together give a palindrome (393).

The spelling of 89304 in words is "eighty-nine thousand, three hundred four".