9963168 has 48 divisors (see below), whose sum is σ = 26560800. Its totient is φ = 3269376.

The previous prime is 9963137. The next prime is 9963169. The reversal of 9963168 is 8613699.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (9963169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5658 + ... + 7206.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^9963168 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 9963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

9963168 is an abundant number, since it is smaller than the sum of its proper divisors (16597632).

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

9963168 is a wasteful number, since it uses less digits than its factorization.

9963168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1621 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 9963168 is about 3156.4486373138. The cubic root of 9963168 is about 215.1786364645.

It can be divided in two parts, 99631 and 68, that added together give a palindrome (99699).

The spelling of 9963168 in words is "nine million, nine hundred sixty-three thousand, one hundred sixty-eight".