9966894 has 64 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 2733024.

The previous prime is 9966883. The next prime is 9966937. The reversal of 9966894 is 4986699.

It is a super-3 number, since 3×9966894³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

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, 59599 + ... + 59765.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^9966894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

9966894 is an abundant number, since it is smaller than the sum of its proper divisors (14225106).

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

9966894 is a wasteful number, since it uses less digits than its factorization.

9966894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 9966894 is about 3157.0388024223. The cubic root of 9966894 is about 215.2054571061.

The spelling of 9966894 in words is "nine million, nine hundred sixty-six thousand, eight hundred ninety-four".