9768006 has 32 divisors (see below), whose sum is σ = 22122720. Its totient is φ = 3193632.

The previous prime is 9768001. The next prime is 9768029. The reversal of 9768006 is 6008679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9768001) 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, 1156 + ... + 4568.

It is an arithmetic number, because the mean of its divisors is an integer number (691335).

Almost surely, 2^9768006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9768006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11061360).

9768006 is an abundant number, since it is smaller than the sum of its proper divisors (12354714).

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

9768006 is a wasteful number, since it uses less digits than its factorization.

9768006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9768006 is about 3125.3809367819. The cubic root of 9768006 is about 213.7643634546.

The spelling of 9768006 in words is "nine million, seven hundred sixty-eight thousand, six".