89952512 has 72 divisors (see below), whose sum is σ = 195733440. Its totient is φ = 41011200.

The previous prime is 89952503. The next prime is 89952539. The reversal of 89952512 is 21525998.

It is a super-2 number, since 2×89952512² = 16182908830220288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89952512.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502439 + ... + 502617.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^89952512 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 89952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

89952512 is an abundant number, since it is smaller than the sum of its proper divisors (105780928).

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

89952512 is a wasteful number, since it uses less digits than its factorization.

89952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its digits is 64800, while the sum is 41.

The square root of 89952512 is about 9484.3298129072. The cubic root of 89952512 is about 448.0616411781.

The spelling of 89952512 in words is "eighty-nine million, nine hundred fifty-two thousand, five hundred twelve".