89664 has 28 divisors (see below), whose sum is σ = 237744. Its totient is φ = 29824.

The previous prime is 89659. The next prime is 89669. The reversal of 89664 is 46698.

It is an interprime number because it is at equal distance from previous prime (89659) and next prime (89669).

It is not an unprimeable number, because it can be changed into a prime (89669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42 + ... + 425.

2⁸⁹⁶⁶⁴ 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 89664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872).

89664 is an abundant number, since it is smaller than the sum of its proper divisors (148080).

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

89664 is a wasteful number, since it uses less digits than its factorization.

89664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 89664 is about 299.4394763554. The cubic root of 89664 is about 44.7582093280.

The spelling of 89664 in words is "eighty-nine thousand, six hundred sixty-four".