9666000 has 160 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 2563200.

The previous prime is 9665993. The next prime is 9666001. The reversal of 9666000 is 6669.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9666001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53911 + ... + 54089.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 2^9666000 is an apocalyptic number.

9666000 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 9666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

9666000 is an abundant number, since it is smaller than the sum of its proper divisors (25153200).

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

9666000 is a wasteful number, since it uses less digits than its factorization.

9666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9666000 is about 3109.0191379276. The cubic root of 9666000 is about 213.0176537639.

The spelling of 9666000 in words is "nine million, six hundred sixty-six thousand".