89680896 has 132 divisors (see below), whose sum is σ = 266961552. Its totient is φ = 28975104.

The previous prime is 89680883. The next prime is 89680909. The reversal of 89680896 is 69808698.

It is an interprime number because it is at equal distance from previous prime (89680883) and next prime (89680909).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340861 + ... + 341123.

It is an arithmetic number, because the mean of its divisors is an integer number (2022436).

Almost surely, 2^89680896 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 89680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133480776).

89680896 is an abundant number, since it is smaller than the sum of its proper divisors (177280656).

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

89680896 is a wasteful number, since it uses less digits than its factorization.

89680896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 89680896 is about 9469.9997888068. Note that the first 3 decimals coincide. The cubic root of 89680896 is about 447.6102051642.

The spelling of 89680896 in words is "eighty-nine million, six hundred eighty thousand, eight hundred ninety-six".