9768264 has 64 divisors (see below), whose sum is σ = 26922240. Its totient is φ = 2928960.

The previous prime is 9768263. The next prime is 9768281. The reversal of 9768264 is 4628679.

It is not an unprimeable number, because it can be changed into a prime (9768263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42919 + ... + 43145.

It is an arithmetic number, because the mean of its divisors is an integer number (420660).

Almost surely, 2^9768264 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 9768264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461120).

9768264 is an abundant number, since it is smaller than the sum of its proper divisors (17153976).

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

9768264 is a wasteful number, since it uses less digits than its factorization.

9768264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 9768264 is about 3125.4222114780. The cubic root of 9768264 is about 213.7662454737.

It can be divided in two parts, 9768 and 264, that multiplied together give a palindrome (2578752).

The spelling of 9768264 in words is "nine million, seven hundred sixty-eight thousand, two hundred sixty-four".