89320 has 64 divisors (see below), whose sum is σ = 259200. Its totient is φ = 26880.

The previous prime is 89317. The next prime is 89329. The reversal of 89320 is 2398.

89320 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 89291 and 89300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3066 + ... + 3094.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁸⁹³²⁰ 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 89320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

89320 is an abundant number, since it is smaller than the sum of its proper divisors (169880).

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

89320 is a wasteful number, since it uses less digits than its factorization.

89320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 89320 is about 298.8645178003. The cubic root of 89320 is about 44.7008970053.

Subtracting from 89320 its sum of digits (22), we obtain a palindrome (89298).

Subtracting from 89320 its product of nonzero digits (432), we obtain a palindrome (88888).

The spelling of 89320 in words is "eighty-nine thousand, three hundred twenty".