89244800 has 72 divisors (see below), whose sum is σ = 221790585. Its totient is φ = 35484160.

The previous prime is 89244787. The next prime is 89244809. The reversal of 89244800 is 844298.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 87459904 + 1784896 = 9352^2 + 1336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6680.

It is not an unprimeable number, because it can be changed into a prime (89244809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 534317 + ... + 534483.

Almost surely, 2^89244800 is an apocalyptic number.

89244800 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 89244800

89244800 is an abundant number, since it is smaller than the sum of its proper divisors (132545785).

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

89244800 is an equidigital number, since it uses as much as digits as its factorization.

89244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 89244800 is about 9446.9465966523. The cubic root of 89244800 is about 446.8834867249.

Multiplying 89244800 by its product of nonzero digits (18432), we get a square (1644960153600 = 1282560²).

The spelling of 89244800 in words is "eighty-nine million, two hundred forty-four thousand, eight hundred".