9993168 has 60 divisors (see below), whose sum is σ = 28943460. Its totient is φ = 3214848.

The previous prime is 9993167. The next prime is 9993169. The reversal of 9993168 is 8613999.

9993168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9993167) and next prime (9993169).

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 7884864 = 1452^2 + 2808^2 .

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 (9993167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2980 + ... + 5372.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^9993168 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 9993168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471730).

9993168 is an abundant number, since it is smaller than the sum of its proper divisors (18950292).

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

9993168 is a wasteful number, since it uses less digits than its factorization.

9993168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2427 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 9993168 is about 3161.1972415526. The cubic root of 9993168 is about 215.3943941662.

It can be divided in two parts, 99931 and 68, that added together give a palindrome (99999).

The spelling of 9993168 in words is "nine million, nine hundred ninety-three thousand, one hundred sixty-eight".