89520 has 40 divisors (see below), whose sum is σ = 278256. Its totient is φ = 23808.

The previous prime is 89519. The next prime is 89521. The reversal of 89520 is 2598.

It is an interprime number because it is at equal distance from previous prime (89519) and next prime (89521).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (89521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 426.

2⁸⁹⁵²⁰ is an apocalyptic number.

89520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139128).

89520 is an abundant number, since it is smaller than the sum of its proper divisors (188736).

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

89520 is a wasteful number, since it uses less digits than its factorization.

89520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 89520 is about 299.1989304794. The cubic root of 89520 is about 44.7342359922.

The spelling of 89520 in words is "eighty-nine thousand, five hundred twenty".