989664 has 72 divisors (see below), whose sum is σ = 2859192. Its totient is φ = 299520.

The previous prime is 989663. The next prime is 989671. The reversal of 989664 is 466989.

989664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16194 + ... + 16254.

It is an arithmetic number, because the mean of its divisors is an integer number (39711).

2⁹⁸⁹⁶⁶⁴ 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 989664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429596).

989664 is an abundant number, since it is smaller than the sum of its proper divisors (1869528).

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

989664 is a wasteful number, since it uses less digits than its factorization.

989664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 989664 is about 994.8185764249. The cubic root of 989664 is about 99.6542727710.

It can be divided in two parts, 989 and 664, that added together give a triangular number (1653 = T₅₇).

The spelling of 989664 in words is "nine hundred eighty-nine thousand, six hundred sixty-four".