8900 has 18 divisors (see below), whose sum is σ = 19530. Its totient is φ = 3520.

The previous prime is 8893. The next prime is 8923. The reversal of 8900 is 98.

8900 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 64 + 8836 = 8^2 + 94^2 .

It is a plaindrome in base 14.

It is an unprimeable number.

8900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56 + ... + 144.

It is an arithmetic number, because the mean of its divisors is an integer number (1085).

2⁸⁹⁰⁰ 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 8900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765).

8900 is an abundant number, since it is smaller than the sum of its proper divisors (10630).

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

8900 is a wasteful number, since it uses less digits than its factorization.

8900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 8900 is about 94.3398113206. The cubic root of 8900 is about 20.7235109806.

Adding to 8900 its reverse (98), we get a palindrome (8998).

The spelling of 8900 in words is "eight thousand, nine hundred".