9996966 has 64 divisors (see below), whose sum is σ = 25920000. Its totient is φ = 2796768.

The previous prime is 9996949. The next prime is 9996979. The reversal of 9996966 is 6696999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19785 + ... + 20283.

It is an arithmetic number, because the mean of its divisors is an integer number (405000).

Almost surely, 2^9996966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960000).

9996966 is an abundant number, since it is smaller than the sum of its proper divisors (15923034).

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

9996966 is a wasteful number, since it uses less digits than its factorization.

9996966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 9996966 is about 3161.7979062552. The cubic root of 9996966 is about 215.4216782831.

The spelling of 9996966 in words is "nine million, nine hundred ninety-six thousand, nine hundred sixty-six".