89664300 has 144 divisors (see below), whose sum is σ = 314563200. Its totient is φ = 21729600.

The previous prime is 89664299. The next prime is 89664347. The reversal of 89664300 is 346698.

89664300 is a `hidden beast` number, since 8 + 9 + 6 + 643 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28191 + ... + 31209.

Almost surely, 2^89664300 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 89664300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157281600).

89664300 is an abundant number, since it is smaller than the sum of its proper divisors (224898900).

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

89664300 is a wasteful number, since it uses less digits than its factorization.

89664300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 89664300 is about 9469.1235074847. The cubic root of 89664300 is about 447.5825924560.

The spelling of 89664300 in words is "eighty-nine million, six hundred sixty-four thousand, three hundred".