89700 has 72 divisors (see below), whose sum is σ = 291648. Its totient is φ = 21120.

The previous prime is 89689. The next prime is 89753. The reversal of 89700 is 798.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3889 + ... + 3911.

2⁸⁹⁷⁰⁰ is an apocalyptic number.

It is a pronic number, being equal to 299×300.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824).

89700 is an abundant number, since it is smaller than the sum of its proper divisors (201948).

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

89700 is a wasteful number, since it uses less digits than its factorization.

89700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 89700 is about 299.4995826374. The cubic root of 89700 is about 44.7641986508.

Subtracting from 89700 its sum of digits (24), we obtain a triangular number (89676 = T₄₂₃).

The spelling of 89700 in words is "eighty-nine thousand, seven hundred".