9589664 has 48 divisors (see below), whose sum is σ = 22288896. Its totient is φ = 3974400.

The previous prime is 9589639. The next prime is 9589667. The reversal of 9589664 is 4669859.

It is not an unprimeable number, because it can be changed into a prime (9589667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6254 + ... + 7634.

It is an arithmetic number, because the mean of its divisors is an integer number (464352).

Almost surely, 2^9589664 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 9589664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144448).

9589664 is an abundant number, since it is smaller than the sum of its proper divisors (12699232).

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

9589664 is a wasteful number, since it uses less digits than its factorization.

9589664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1421 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 9589664 is about 3096.7182629358. The cubic root of 9589664 is about 212.4554111752.

It can be divided in two parts, 9589 and 664, that multiplied together give a triangular number (6367096 = T₃₅₆₈).

The spelling of 9589664 in words is "nine million, five hundred eighty-nine thousand, six hundred sixty-four".