89692512 has 96 divisors (see below), whose sum is σ = 289804032. Its totient is φ = 23652864.

The previous prime is 89692511. The next prime is 89692523. The reversal of 89692512 is 21529698.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89692511) by changing a digit.

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, 3603 + ... + 13869.

It is an arithmetic number, because the mean of its divisors is an integer number (3018792).

Almost surely, 2^89692512 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 89692512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144902016).

89692512 is an abundant number, since it is smaller than the sum of its proper divisors (200111520).

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

89692512 is a wasteful number, since it uses less digits than its factorization.

89692512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10292 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 89692512 is about 9470.6130741362. The cubic root of 89692512 is about 447.6295300368.

The spelling of 89692512 in words is "eighty-nine million, six hundred ninety-two thousand, five hundred twelve".