9666800 has 120 divisors (see below), whose sum is σ = 27446160. Its totient is φ = 3244800.

The previous prime is 9666799. The next prime is 9666817. The reversal of 9666800 is 86669.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743594 + ... + 743606.

It is an arithmetic number, because the mean of its divisors is an integer number (228718).

Almost surely, 2^9666800 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 9666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723080).

9666800 is an abundant number, since it is smaller than the sum of its proper divisors (17779360).

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

9666800 is a wasteful number, since it uses less digits than its factorization.

9666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 9666800 is about 3109.1477932064. The cubic root of 9666800 is about 213.0235303562.

The spelling of 9666800 in words is "nine million, six hundred sixty-six thousand, eight hundred".