89664192 has 112 divisors (see below), whose sum is σ = 277571200. Its totient is φ = 28304640.

The previous prime is 89664191. The next prime is 89664217. The reversal of 89664192 is 29146698.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89664191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31467 + ... + 34197.

Almost surely, 2^89664192 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 89664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138785600).

89664192 is an abundant number, since it is smaller than the sum of its proper divisors (187907008).

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

89664192 is a wasteful number, since it uses less digits than its factorization.

89664192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2755 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 89664192 is about 9469.1178047377. The cubic root of 89664192 is about 447.5824127526.

The spelling of 89664192 in words is "eighty-nine million, six hundred sixty-four thousand, one hundred ninety-two".