89630112 has 96 divisors (see below), whose sum is σ = 276454080. Its totient is φ = 25067520.

The previous prime is 89630111. The next prime is 89630113. The reversal of 89630112 is 21103698.

It is an interprime number because it is at equal distance from previous prime (89630111) and next prime (89630113).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 89630112.

It is not an unprimeable number, because it can be changed into a prime (89630111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10464 + ... + 16992.

It is an arithmetic number, because the mean of its divisors is an integer number (2879730).

Almost surely, 2^89630112 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 89630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138227040).

89630112 is an abundant number, since it is smaller than the sum of its proper divisors (186823968).

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

89630112 is a wasteful number, since it uses less digits than its factorization.

89630112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 89630112 is about 9467.3180996521. The cubic root of 89630112 is about 447.5256991369.

The spelling of 89630112 in words is "eighty-nine million, six hundred thirty thousand, one hundred twelve".