89824 has 24 divisors (see below), whose sum is σ = 202608. Its totient is φ = 38400.

The previous prime is 89821. The next prime is 89833. The reversal of 89824 is 42898.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89821) 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, 24 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (8442).

2⁸⁹⁸²⁴ 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 89824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101304).

89824 is an abundant number, since it is smaller than the sum of its proper divisors (112784).

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

89824 is a wasteful number, since it uses less digits than its factorization.

89824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 89824 is about 299.7065231189. The cubic root of 89824 is about 44.7848162831.

The spelling of 89824 in words is "eighty-nine thousand, eight hundred twenty-four".