89731968 has 64 divisors (see below), whose sum is σ = 242902800. Its totient is φ = 29339648.

The previous prime is 89731963. The next prime is 89731973. The reversal of 89731968 is 86913798.

It is an interprime number because it is at equal distance from previous prime (89731963) and next prime (89731973).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 89731968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89731963) 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 7 ways as a sum of consecutive naturals, for example, 18148 + ... + 22556.

Almost surely, 2^89731968 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 89731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121451400).

89731968 is an abundant number, since it is smaller than the sum of its proper divisors (153170832).

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

89731968 is a wasteful number, since it uses less digits than its factorization.

89731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4467 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 89731968 is about 9472.6959203809. The cubic root of 89731968 is about 447.6951582637.

The spelling of 89731968 in words is "eighty-nine million, seven hundred thirty-one thousand, nine hundred sixty-eight".