89268224 has 56 divisors (see below), whose sum is σ = 189321948. Its totient is φ = 41943040.

The previous prime is 89268211. The next prime is 89268233. The reversal of 89268224 is 42286298.

It can be written as a sum of positive squares in 2 ways, for example, as 76877824 + 12390400 = 8768^2 + 3520^2 .

It is a super-2 number, since 2×89268224² = 15937631632228352, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138944 + ... + 139584.

Almost surely, 2^89268224 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 89268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94660974).

89268224 is an abundant number, since it is smaller than the sum of its proper divisors (100053724).

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

89268224 is an equidigital number, since it uses as much as digits as its factorization.

89268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 660 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 89268224 is about 9448.1862809748. The cubic root of 89268224 is about 446.9225810030.

The spelling of 89268224 in words is "eighty-nine million, two hundred sixty-eight thousand, two hundred twenty-four".