89198800 has 60 divisors (see below), whose sum is σ = 215706060. Its totient is φ = 35445760.

The previous prime is 89198797. The next prime is 89198801. The reversal of 89198800 is 889198.

It can be written as a sum of positive squares in 6 ways, for example, as 6170256 + 83028544 = 2484^2 + 9112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89198801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68556 + ... + 69844.

It is an arithmetic number, because the mean of its divisors is an integer number (3595101).

Almost surely, 2^89198800 is an apocalyptic number.

89198800 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 89198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107853030).

89198800 is an abundant number, since it is smaller than the sum of its proper divisors (126507260).

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

89198800 is a wasteful number, since it uses less digits than its factorization.

89198800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 43.

The square root of 89198800 is about 9444.5116337479. The cubic root of 89198800 is about 446.8066935550.

It can be divided in two parts, 89198 and 800, that added together give a palindrome (89998).

The spelling of 89198800 in words is "eighty-nine million, one hundred ninety-eight thousand, eight hundred".