9966120 has 64 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 2605824.

The previous prime is 9966113. The next prime is 9966137. The reversal of 9966120 is 216699.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 5577 + ... + 7143.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^9966120 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 9966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

9966120 is an abundant number, since it is smaller than the sum of its proper divisors (20515800).

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

9966120 is a wasteful number, since it uses less digits than its factorization.

9966120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9966120 is about 3156.9162168167. The cubic root of 9966120 is about 215.1998862186.

It can be divided in two parts, 99661 and 20, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 9966120 in words is "nine million, nine hundred sixty-six thousand, one hundred twenty".