89108800 has 168 divisors, whose sum is σ = 246046752. Its totient is φ = 31488000.

The previous prime is 89108797. The next prime is 89108807. The reversal of 89108800 is 880198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89108807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073559 + ... + 1073641.

It is an arithmetic number, because the mean of its divisors is an integer number (1464564).

Almost surely, 2^89108800 is an apocalyptic number.

89108800 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 89108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123023376).

89108800 is an abundant number, since it is smaller than the sum of its proper divisors (156937952).

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

89108800 is a wasteful number, since it uses less digits than its factorization.

89108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 89108800 is about 9439.7457592882. The cubic root of 89108800 is about 446.6563696545.

Adding to 89108800 its reverse (880198), we get a palindrome (89988998).

The spelling of 89108800 in words is "eighty-nine million, one hundred eight thousand, eight hundred".