90024 has 48 divisors (see below), whose sum is σ = 255360. Its totient is φ = 26400.

The previous prime is 90023. The next prime is 90031. The reversal of 90024 is 42009.

It is a junction number, because it is equal to n+sod(n) for n = 89985 and 90012.

It is not an unprimeable number, because it can be changed into a prime (90023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2889 + ... + 2919.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁹⁰⁰²⁴ 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 90024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

90024 is an abundant number, since it is smaller than the sum of its proper divisors (165336).

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

90024 is a wasteful number, since it uses less digits than its factorization.

90024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 90024 is about 300.0399973337. The cubic root of 90024 is about 44.8180305824.

Subtracting from 90024 its sum of digits (15), we obtain a palindrome (90009).

The spelling of 90024 in words is "ninety thousand, twenty-four".