89985312 has 72 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 29024640.

The previous prime is 89985271. The next prime is 89985323. The reversal of 89985312 is 21358998.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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, 3889 + ... + 13967.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^89985312 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 89985312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

89985312 is an abundant number, since it is smaller than the sum of its proper divisors (174191328).

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

89985312 is a wasteful number, since it uses less digits than its factorization.

89985312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126 (or 10115 counting only the distinct ones).

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

The square root of 89985312 is about 9486.0588233470. The cubic root of 89985312 is about 448.1160944876.

The spelling of 89985312 in words is "eighty-nine million, nine hundred eighty-five thousand, three hundred twelve".