89920064 has 112 divisors (see below), whose sum is σ = 207556608. Its totient is φ = 38320128.

The previous prime is 89920031. The next prime is 89920069. The reversal of 89920064 is 46002998.

It is not an unprimeable number, because it can be changed into a prime (89920069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707969 + ... + 708095.

It is an arithmetic number, because the mean of its divisors is an integer number (1853184).

Almost surely, 2^89920064 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 89920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103778304).

89920064 is an abundant number, since it is smaller than the sum of its proper divisors (117636544).

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

89920064 is a wasteful number, since it uses less digits than its factorization.

89920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 89920064 is about 9482.6190474995. The cubic root of 89920064 is about 448.0077592194.

The spelling of 89920064 in words is "eighty-nine million, nine hundred twenty thousand, sixty-four".