8489664 has 112 divisors (see below), whose sum is σ = 26517600. Its totient is φ = 2663424.

The previous prime is 8489659. The next prime is 8489729. The reversal of 8489664 is 4669848.

It is a happy number.

The cubic root of 8489664 is 204.

It is a perfect power (a cube), and thus also a powerful number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (331776) is a multiple of the sum of its prime factors (72).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 499384 + ... + 499400.

Almost surely, 2^8489664 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 8489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258800).

8489664 is an abundant number, since it is smaller than the sum of its proper divisors (18027936).

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

8489664 is an equidigital number, since it uses as much as digits as its factorization.

8489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 22 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 8489664 is about 2913.7027988455.

The spelling of 8489664 in words is "eight million, four hundred eighty-nine thousand, six hundred sixty-four".