89808400 has 60 divisors (see below), whose sum is σ = 235391184. Its totient is φ = 32656000.

The previous prime is 89808379. The next prime is 89808401. The reversal of 89808400 is 480898.

It is a self number, because there is not a number n which added to its sum of digits gives 89808400.

It is not an unprimeable number, because it can be changed into a prime (89808401) 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, 5806 + ... + 14605.

Almost surely, 2^89808400 is an apocalyptic number.

89808400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89808400 is an abundant number, since it is smaller than the sum of its proper divisors (145582784).

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

89808400 is a wasteful number, since it uses less digits than its factorization.

89808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20440 (or 20429 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 89808400 is about 9476.7293936252. The cubic root of 89808400 is about 447.8222349574.

The spelling of 89808400 in words is "eighty-nine million, eight hundred eight thousand, four hundred".