89608512 has 112 divisors (see below), whose sum is σ = 275652992. Its totient is φ = 25159680.

The previous prime is 89608501. The next prime is 89608523. The reversal of 89608512 is 21580698.

It is an interprime number because it is at equal distance from previous prime (89608501) and next prime (89608523).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81438 + ... + 82530.

Almost surely, 2^89608512 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 89608512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137826496).

89608512 is an abundant number, since it is smaller than the sum of its proper divisors (186044480).

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

89608512 is a wasteful number, since it uses less digits than its factorization.

89608512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 89608512 is about 9466.1772643449. The cubic root of 89608512 is about 447.4897464438.

The spelling of 89608512 in words is "eighty-nine million, six hundred eight thousand, five hundred twelve".