9561664 has 42 divisors (see below), whose sum is σ = 22078950. Its totient is φ = 4096512.

The previous prime is 9561661. The next prime is 9561679. The reversal of 9561664 is 4661659.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 3211264 = 2520^2 + 1792^2 .

It is not an unprimeable number, because it can be changed into a prime (9561661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1612 + ... + 4660.

Almost surely, 2^9561664 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 9561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039475).

9561664 is an abundant number, since it is smaller than the sum of its proper divisors (12517286).

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

9561664 is a wasteful number, since it uses less digits than its factorization.

9561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3058 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 9561664 is about 3092.1940430704. The cubic root of 9561664 is about 212.2484330973.

The spelling of 9561664 in words is "nine million, five hundred sixty-one thousand, six hundred sixty-four".