9666720 has 216 divisors, whose sum is σ = 38653524. Its totient is φ = 2193408.

The previous prime is 9666719. The next prime is 9666743. The reversal of 9666720 is 276669.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 7056 = 3108^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70492 + ... + 70628.

Almost surely, 2^9666720 is an apocalyptic number.

9666720 is a gapful number since it is divisible by the number (90) 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 9666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326762).

9666720 is an abundant number, since it is smaller than the sum of its proper divisors (28986804).

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

9666720 is a wasteful number, since it uses less digits than its factorization.

9666720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9666720 is about 3109.1349279181. The cubic root of 9666720 is about 213.0229427115.

The spelling of 9666720 in words is "nine million, six hundred sixty-six thousand, seven hundred twenty".