9966968 has 32 divisors (see below), whose sum is σ = 20781360. Its totient is φ = 4442880.

The previous prime is 9966967. The next prime is 9966989. The reversal of 9966968 is 8696699.

It is a super-2 number, since 2×9966968² = 198680902226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3596 + ... + 5732.

Almost surely, 2^9966968 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 9966968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10390680).

9966968 is an abundant number, since it is smaller than the sum of its proper divisors (10814392).

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

9966968 is a wasteful number, since it uses less digits than its factorization.

9966968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2203 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 53.

The square root of 9966968 is about 3157.0505222438. The cubic root of 9966968 is about 215.2059897081.

The spelling of 9966968 in words is "nine million, nine hundred sixty-six thousand, nine hundred sixty-eight".