9209664 has 84 divisors (see below), whose sum is σ = 26944320. Its totient is φ = 3006720.

The previous prime is 9209647. The next prime is 9209701. The reversal of 9209664 is 4669029.

It is a super-3 number, since 3×9209664³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33849 + ... + 34119.

Almost surely, 2^9209664 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 9209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472160).

9209664 is an abundant number, since it is smaller than the sum of its proper divisors (17734656).

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

9209664 is a wasteful number, since it uses less digits than its factorization.

9209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9209664 is about 3034.7428227117. The cubic root of 9209664 is about 209.6112535962.

The spelling of 9209664 in words is "nine million, two hundred nine thousand, six hundred sixty-four".