89909568 has 112 divisors (see below), whose sum is σ = 302117760. Its totient is φ = 25684992.

The previous prime is 89909551. The next prime is 89909581. The reversal of 89909568 is 86590998.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8380 + ... + 15812.

It is an arithmetic number, because the mean of its divisors is an integer number (2697480).

Almost surely, 2^89909568 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 89909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151058880).

89909568 is an abundant number, since it is smaller than the sum of its proper divisors (212208192).

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

89909568 is a wasteful number, since it uses less digits than its factorization.

89909568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 89909568 is about 9482.0655977482. The cubic root of 89909568 is about 447.9903271721.

The spelling of 89909568 in words is "eighty-nine million, nine hundred nine thousand, five hundred sixty-eight".