89680900 has 27 divisors (see below), whose sum is σ = 194813269. Its totient is φ = 35834480.

The previous prime is 89680883. The next prime is 89680909. The reversal of 89680900 is 908698.

It is a happy number.

The square root of 89680900 is 9470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32285124 + 57395776 = 5682^2 + 7576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89680909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94227 + ... + 95173.

Almost surely, 2^89680900 is an apocalyptic number.

89680900 is the 9470-th square number.

It is an amenable number.

89680900 is an abundant number, since it is smaller than the sum of its proper divisors (105132369).

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

89680900 is an equidigital number, since it uses as much as digits as its factorization.

89680900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The cubic root of 89680900 is about 447.6102118191.

It can be divided in two parts, 896 and 80900, that added together give a square (81796 = 286²).

The spelling of 89680900 in words is "eighty-nine million, six hundred eighty thousand, nine hundred".