89100800 has 60 divisors (see below), whose sum is σ = 220785906. Its totient is φ = 35635200.

The previous prime is 89100799. The next prime is 89100841. The reversal of 89100800 is 800198.

It can be written as a sum of positive squares in 3 ways, for example, as 76597504 + 12503296 = 8752^2 + 3536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89100800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9320 + ... + 16280.

Almost surely, 2^89100800 is an apocalyptic number.

89100800 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 89100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110392953).

89100800 is an abundant number, since it is smaller than the sum of its proper divisors (131685106).

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

89100800 is an equidigital number, since it uses as much as digits as its factorization.

89100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 89100800 is about 9439.3220095513. The cubic root of 89100800 is about 446.6430026324.

Adding to 89100800 its reverse (800198), we get a palindrome (89900998).

The spelling of 89100800 in words is "eighty-nine million, one hundred thousand, eight hundred".