9768564 has 36 divisors (see below), whose sum is σ = 26593476. Its totient is φ = 3005568.

The previous prime is 9768559. The next prime is 9768599. The reversal of 9768564 is 4658679.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 7518564 = 1500^2 + 2742^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9969 + ... + 10904.

Almost surely, 2^9768564 is an apocalyptic number.

It is an amenable number.

9768564 is an abundant number, since it is smaller than the sum of its proper divisors (16824912).

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

9768564 is a wasteful number, since it uses less digits than its factorization.

9768564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20896 (or 20891 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 9768564 is about 3125.4702046252. The cubic root of 9768564 is about 213.7684338262.

The spelling of 9768564 in words is "nine million, seven hundred sixty-eight thousand, five hundred sixty-four".