89724800 has 96 divisors (see below), whose sum is σ = 241893000. Its totient is φ = 32614400.

The previous prime is 89724773. The next prime is 89724823. The reversal of 89724800 is 842798.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33926 + ... + 36474.

Almost surely, 2^89724800 is an apocalyptic number.

89724800 is a gapful number since it is divisible by the number (80) 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 89724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120946500).

89724800 is an abundant number, since it is smaller than the sum of its proper divisors (152168200).

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

89724800 is a wasteful number, since it uses less digits than its factorization.

89724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 89724800 is about 9472.3175622442. The cubic root of 89724800 is about 447.6832369666.

The spelling of 89724800 in words is "eighty-nine million, seven hundred twenty-four thousand, eight hundred".