9984168 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3131136.

The previous prime is 9984167. The next prime is 9984179. The reversal of 9984168 is 8614899.

It is a super-2 number, since 2×9984168² = 199367221304448, which contains 22 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9984167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313 + ... + 5031.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 2^9984168 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 9984168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

9984168 is an abundant number, since it is smaller than the sum of its proper divisors (19391832).

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

9984168 is a wasteful number, since it uses less digits than its factorization.

9984168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2741 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 9984168 is about 3159.7734095976. The cubic root of 9984168 is about 215.3297122488.

The spelling of 9984168 in words is "nine million, nine hundred eighty-four thousand, one hundred sixty-eight".