163368 has 24 divisors (see below), whose sum is σ = 442650. Its totient is φ = 54432.

The previous prime is 163367. The next prime is 163393. The reversal of 163368 is 863361.

163368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 1764 = 402^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (163363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1063 + ... + 1206.

2¹⁶³³⁶⁸ is an apocalyptic number.

163368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

163368 is an abundant number, since it is smaller than the sum of its proper divisors (279282).

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

163368 is a wasteful number, since it uses less digits than its factorization.

163368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2274 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 163368 is about 404.1880750344. The cubic root of 163368 is about 54.6666336175. Note that the first 4 decimals are identical.

The spelling of 163368 in words is "one hundred sixty-three thousand, three hundred sixty-eight".