89148800 has 96 divisors (see below), whose sum is σ = 237276480. Its totient is φ = 32901120.

The previous prime is 89148797. The next prime is 89148821. The reversal of 89148800 is 884198.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40529 + ... + 42671.

It is an arithmetic number, because the mean of its divisors is an integer number (2471630).

Almost surely, 2^89148800 is an apocalyptic number.

89148800 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 89148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118638240).

89148800 is an abundant number, since it is smaller than the sum of its proper divisors (148127680).

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

89148800 is a wasteful number, since it uses less digits than its factorization.

89148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 89148800 is about 9441.8642227052. The cubic root of 89148800 is about 446.7231927671.

The spelling of 89148800 in words is "eighty-nine million, one hundred forty-eight thousand, eight hundred".