9533664 has 72 divisors (see below), whose sum is σ = 30990960. Its totient is φ = 2723328.

The previous prime is 9533627. The next prime is 9533669. The reversal of 9533664 is 4663359.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9533669) 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, 349 + ... + 4380.

It is an arithmetic number, because the mean of its divisors is an integer number (430430).

Almost surely, 2^9533664 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 9533664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495480).

9533664 is an abundant number, since it is smaller than the sum of its proper divisors (21457296).

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

9533664 is a wasteful number, since it uses less digits than its factorization.

9533664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4741 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 9533664 is about 3087.6631940676. The cubic root of 9533664 is about 212.0410505531.

The spelling of 9533664 in words is "nine million, five hundred thirty-three thousand, six hundred sixty-four".