89912016 has 120 divisors (see below), whose sum is σ = 262082184. Its totient is φ = 28753920.

The previous prime is 89912003. The next prime is 89912027. The reversal of 89912016 is 61021998.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 89870400 = 204^2 + 9480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572610 + ... + 572766.

Almost surely, 2^89912016 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 89912016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131041092).

89912016 is an abundant number, since it is smaller than the sum of its proper divisors (172170168).

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

89912016 is a wasteful number, since it uses less digits than its factorization.

89912016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 89912016 is about 9482.1946826671. The cubic root of 89912016 is about 447.9943929996.

The spelling of 89912016 in words is "eighty-nine million, nine hundred twelve thousand, sixteen".