89120 has 24 divisors (see below), whose sum is σ = 210924. Its totient is φ = 35584.

The previous prime is 89119. The next prime is 89123. The reversal of 89120 is 2198.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 8464 = 284^2 + 92^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 89092 and 89101.

It is not an unprimeable number, because it can be changed into a prime (89123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 438.

2⁸⁹¹²⁰ is an apocalyptic number.

89120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89120 is an abundant number, since it is smaller than the sum of its proper divisors (121804).

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 (105462).

89120 is a wasteful number, since it uses less digits than its factorization.

89120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 89120 is about 298.5297305127. The cubic root of 89120 is about 44.6675082141.

The spelling of 89120 in words is "eighty-nine thousand, one hundred twenty".