89508096 has 108 divisors (see below), whose sum is σ = 263301948. Its totient is φ = 29233152.

The previous prime is 89508079. The next prime is 89508121. The reversal of 89508096 is 69080598.

It can be written as a sum of positive squares in 2 ways, for example, as 78854400 + 10653696 = 8880^2 + 3264^2 .

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, 121746 + ... + 122478.

It is an arithmetic number, because the mean of its divisors is an integer number (2437981).

Almost surely, 2^89508096 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 89508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131650974).

89508096 is an abundant number, since it is smaller than the sum of its proper divisors (173793852).

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

89508096 is a wasteful number, since it uses less digits than its factorization.

89508096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 89508096 is about 9460.8718414320. The cubic root of 89508096 is about 447.3225304628.

The spelling of 89508096 in words is "eighty-nine million, five hundred eight thousand, ninety-six".