89496900 has 216 divisors, whose sum is σ = 303313920. Its totient is φ = 22861440.

The previous prime is 89496899. The next prime is 89496917. The reversal of 89496900 is 969498.

It is a super-2 number, since 2×89496900² = 16019390219220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 704637 + ... + 704763.

Almost surely, 2^89496900 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 89496900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656960).

89496900 is an abundant number, since it is smaller than the sum of its proper divisors (213817020).

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

89496900 is a wasteful number, since it uses less digits than its factorization.

89496900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 89496900 is about 9460.2801227025. The cubic root of 89496900 is about 447.3038787724.

The spelling of 89496900 in words is "eighty-nine million, four hundred ninety-six thousand, nine hundred".