9966996 has 96 divisors (see below), whose sum is σ = 28851200. Its totient is φ = 2954880.

The previous prime is 9966989. The next prime is 9966997. The reversal of 9966996 is 6996699.

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 not an unprimeable number, because it can be changed into a prime (9966997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43410 + ... + 43638.

Almost surely, 2^9966996 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 9966996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14425600).

9966996 is an abundant number, since it is smaller than the sum of its proper divisors (18884204).

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

9966996 is a wasteful number, since it uses less digits than its factorization.

9966996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

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

The square root of 9966996 is about 3157.0549567595. The cubic root of 9966996 is about 215.2061912325.

The spelling of 9966996 in words is "nine million, nine hundred sixty-six thousand, nine hundred ninety-six".