89885664 has 144 divisors (see below), whose sum is σ = 295429680. Its totient is φ = 25620480.

The previous prime is 89885581. The next prime is 89885683. The reversal of 89885664 is 46658898.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 89885664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53022 + ... + 54690.

It is an arithmetic number, because the mean of its divisors is an integer number (2051595).

Almost surely, 2^89885664 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 89885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147714840).

89885664 is an abundant number, since it is smaller than the sum of its proper divisors (205544016).

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

89885664 is a wasteful number, since it uses less digits than its factorization.

89885664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1702 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 89885664 is about 9480.8050291101. The cubic root of 89885664 is about 447.9506216836.

The spelling of 89885664 in words is "eighty-nine million, eight hundred eighty-five thousand, six hundred sixty-four".