89976096 has 336 divisors, whose sum is σ = 330523200. Its totient is φ = 23514624.

The previous prime is 89976083. The next prime is 89976113. The reversal of 89976096 is 69067998.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 55 ways as a sum of consecutive naturals, for example, 3102610 + ... + 3102638.

It is an arithmetic number, because the mean of its divisors is an integer number (983700).

Almost surely, 2^89976096 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 89976096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165261600).

89976096 is an abundant number, since it is smaller than the sum of its proper divisors (240547104).

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

89976096 is a wasteful number, since it uses less digits than its factorization.

89976096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 89976096 is about 9485.5730454201. The cubic root of 89976096 is about 448.1007957726.

The spelling of 89976096 in words is "eighty-nine million, nine hundred seventy-six thousand, ninety-six".