89688384 has 168 divisors, whose sum is σ = 273669760. Its totient is φ = 29113344.

The previous prime is 89688373. The next prime is 89688397. The reversal of 89688384 is 48388698.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 89688384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135257 + ... + 1135335.

Almost surely, 2^89688384 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 89688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136834880).

89688384 is an abundant number, since it is smaller than the sum of its proper divisors (183981376).

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

89688384 is an equidigital number, since it uses as much as digits as its factorization.

89688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 89688384 is about 9470.3951343120. The cubic root of 89688384 is about 447.6226627113.

The spelling of 89688384 in words is "eighty-nine million, six hundred eighty-eight thousand, three hundred eighty-four".