321168 has 20 divisors (see below), whose sum is σ = 829808. Its totient is φ = 107040.

The previous prime is 321163. The next prime is 321169. The reversal of 321168 is 861123.

321168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321168.

It is not an unprimeable number, because it can be changed into a prime (321163) by changing a digit.

321168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3298 + ... + 3393.

2³²¹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

321168 is an abundant number, since it is smaller than the sum of its proper divisors (508640).

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

321168 is a wasteful number, since it uses less digits than its factorization.

321168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6696 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 321168 is about 566.7168605221. The cubic root of 321168 is about 68.4821556517.

It can be divided in two parts, 3 and 21168, that multiplied together give a square (63504 = 252²).

The spelling of 321168 in words is "three hundred twenty-one thousand, one hundred sixty-eight".