9966216 has 64 divisors (see below), whose sum is σ = 28425600. Its totient is φ = 2884608.

The previous prime is 9966211. The next prime is 9966217. The reversal of 9966216 is 6126699.

It is a super-2 number, since 2×9966216² = 198650922717312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9966211) by changing a digit.

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, 4365 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (444150).

Almost surely, 2^9966216 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 9966216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212800).

9966216 is an abundant number, since it is smaller than the sum of its proper divisors (18459384).

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

9966216 is a wasteful number, since it uses less digits than its factorization.

9966216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 9966216 is about 3156.9314214914. The cubic root of 9966216 is about 215.2005771970.

The spelling of 9966216 in words is "nine million, nine hundred sixty-six thousand, two hundred sixteen".