9757664 has 60 divisors (see below), whose sum is σ = 22587264. Its totient is φ = 4148928.

The previous prime is 9757637. The next prime is 9757667. The reversal of 9757664 is 4667579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9757667) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 76769 + ... + 76895.

Almost surely, 2^9757664 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 9757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293632).

9757664 is an abundant number, since it is smaller than the sum of its proper divisors (12829600).

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

9757664 is an equidigital number, since it uses as much as digits as its factorization.

9757664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its digits is 317520, while the sum is 44.

The square root of 9757664 is about 3123.7259802998. The cubic root of 9757664 is about 213.6888949053.

The spelling of 9757664 in words is "nine million, seven hundred fifty-seven thousand, six hundred sixty-four".