163947168 has 144 divisors (see below), whose sum is σ = 581345856. Its totient is φ = 42577920.

The previous prime is 163947163. The next prime is 163947299. The reversal of 163947168 is 861749361.

It is a happy number.

163947168 is a `hidden beast` number, since 1 + 639 + 4 + 7 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (163947163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18480 + ... + 25872.

It is an arithmetic number, because the mean of its divisors is an integer number (4037124).

Almost surely, 2^163947168 is an apocalyptic number.

163947168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163947168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290672928).

163947168 is an abundant number, since it is smaller than the sum of its proper divisors (417398688).

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

163947168 is a wasteful number, since it uses less digits than its factorization.

163947168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7416 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 163947168 is about 12804.1855656656. The cubic root of 163947168 is about 547.3115833799.

The spelling of 163947168 in words is "one hundred sixty-three million, nine hundred forty-seven thousand, one hundred sixty-eight".