9768096 has 72 divisors (see below), whose sum is σ = 29926260. Its totient is φ = 3004416.

The previous prime is 9768091. The next prime is 9768119. The reversal of 9768096 is 6908679.

It can be written as a sum of positive squares in 2 ways, for example, as 9363600 + 404496 = 3060^2 + 636^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9768091) 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, 2440 + ... + 5048.

Almost surely, 2^9768096 is an apocalyptic number.

9768096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963130).

9768096 is an abundant number, since it is smaller than the sum of its proper divisors (20158164).

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

9768096 is a wasteful number, since it uses less digits than its factorization.

9768096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9768096 is about 3125.3953349936. The cubic root of 9768096 is about 213.7650199767.

The spelling of 9768096 in words is "nine million, seven hundred sixty-eight thousand, ninety-six".