89666800 has 60 divisors (see below), whose sum is σ = 217739536. Its totient is φ = 35481600.

The previous prime is 89666791. The next prime is 89666827. The reversal of 89666800 is 866698.

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, 37645 + ... + 39955.

Almost surely, 2^89666800 is an apocalyptic number.

89666800 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 89666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108869768).

89666800 is an abundant number, since it is smaller than the sum of its proper divisors (128072736).

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

89666800 is a wasteful number, since it uses less digits than its factorization.

89666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 89666800 is about 9469.2555145587. The cubic root of 89666800 is about 447.5867522167.

The spelling of 89666800 in words is "eighty-nine million, six hundred sixty-six thousand, eight hundred".