89900 has 36 divisors (see below), whose sum is σ = 208320. Its totient is φ = 33600.

The previous prime is 89899. The next prime is 89909. The reversal of 89900 is 998.

89900 = T₇₂ + T₇₃ + ... + T₉₆.

89900 = 5³ + 6³ + ... + 24³.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89900.

It is not an unprimeable number, because it can be changed into a prime (89909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2885 + ... + 2915.

2⁸⁹⁹⁰⁰ 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 89900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

89900 is an abundant number, since it is smaller than the sum of its proper divisors (118420).

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

89900 is a wasteful number, since it uses less digits than its factorization.

89900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 89900 is about 299.8332870113. The cubic root of 89900 is about 44.7974435191.

It can be divided in two parts, 89 and 900, that added together give a palindrome (989).

The spelling of 89900 in words is "eighty-nine thousand, nine hundred".