89924000 has 48 divisors (see below), whose sum is σ = 220953096. Its totient is φ = 35968000.

The previous prime is 89923991. The next prime is 89924011. The reversal of 89924000 is 42998.

It can be written as a sum of positive squares in 4 ways, for example, as 6822544 + 83101456 = 2612^2 + 9116^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7241 + ... + 15240.

Almost surely, 2^89924000 is an apocalyptic number.

89924000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89924000 is an abundant number, since it is smaller than the sum of its proper divisors (131029096).

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

89924000 is a wasteful number, since it uses less digits than its factorization.

89924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22506 (or 22488 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 89924000 is about 9482.8265828286. The cubic root of 89924000 is about 448.0142958873.

Adding to 89924000 its reverse (42998), we get a palindrome (89966998).

The spelling of 89924000 in words is "eighty-nine million, nine hundred twenty-four thousand".