89400 has 48 divisors (see below), whose sum is σ = 279000. Its totient is φ = 23680.

The previous prime is 89399. The next prime is 89413. The reversal of 89400 is 498.

It is a Cunningham number, because it is equal to 299²-1.

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, 526 + ... + 674.

2⁸⁹⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139500).

89400 is an abundant number, since it is smaller than the sum of its proper divisors (189600).

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

89400 is a wasteful number, since it uses less digits than its factorization.

89400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 89400 is about 298.9983277545. The cubic root of 89400 is about 44.7142385662.

Adding to 89400 its reverse (498), we get a palindrome (89898).

The spelling of 89400 in words is "eighty-nine thousand, four hundred".