89320224 has 96 divisors (see below), whose sum is σ = 279659520. Its totient is φ = 24406272.

The previous prime is 89320213. The next prime is 89320249. The reversal of 89320224 is 42202398.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 89320191 and 89320200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12567 + ... + 18345.

It is an arithmetic number, because the mean of its divisors is an integer number (2913120).

Almost surely, 2^89320224 is an apocalyptic number.

89320224 is a gapful number since it is divisible by the number (84) 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 89320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139829760).

89320224 is an abundant number, since it is smaller than the sum of its proper divisors (190339296).

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

89320224 is a wasteful number, since it uses less digits than its factorization.

89320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 89320224 is about 9450.9377312519. The cubic root of 89320224 is about 447.0093437281.

The spelling of 89320224 in words is "eighty-nine million, three hundred twenty thousand, two hundred twenty-four".