9966912 has 112 divisors (see below), whose sum is σ = 28724352. Its totient is φ = 3041280.

The previous prime is 9966883. The next prime is 9966937. The reversal of 9966912 is 2196699.

It is a happy number.

It is a congruent 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, 163362 + ... + 163422.

Almost surely, 2^9966912 is an apocalyptic number.

9966912 is a gapful number since it is divisible by the number (92) 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 9966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362176).

9966912 is an abundant number, since it is smaller than the sum of its proper divisors (18757440).

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

9966912 is a wasteful number, since it uses less digits than its factorization.

9966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 52488, while the sum is 42.

The square root of 9966912 is about 3157.0416531937. The cubic root of 9966912 is about 215.2055866582.

It can be divided in two parts, 99669 and 12, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 9966912 in words is "nine million, nine hundred sixty-six thousand, nine hundred twelve".