89663584 has 48 divisors (see below), whose sum is σ = 188017200. Its totient is φ = 41969664.

The previous prime is 89663569. The next prime is 89663611. The reversal of 89663584 is 48536698.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53284 + ... + 54940.

It is an arithmetic number, because the mean of its divisors is an integer number (3917025).

Almost surely, 2^89663584 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 89663584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94008600).

89663584 is an abundant number, since it is smaller than the sum of its proper divisors (98353616).

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

89663584 is a wasteful number, since it uses less digits than its factorization.

89663584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1767 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

The square root of 89663584 is about 9469.0857003198. The cubic root of 89663584 is about 447.5814010863.

The spelling of 89663584 in words is "eighty-nine million, six hundred sixty-three thousand, five hundred eighty-four".