336168 has 96 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 88704.

The previous prime is 336163. The next prime is 336181. The reversal of 336168 is 861633.

It is a super-2 number, since 2×336168² = 226017848448, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (336163) by changing a digit.

336168 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 23 ways as a sum of consecutive naturals, for example, 11578 + ... + 11606.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2³³⁶¹⁶⁸ 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 336168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

336168 is an abundant number, since it is smaller than the sum of its proper divisors (787032).

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

336168 is a wasteful number, since it uses less digits than its factorization.

336168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 64 counting only the distinct ones).

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

The square root of 336168 is about 579.7999655053. The cubic root of 336168 is about 69.5321177226.

The spelling of 336168 in words is "three hundred thirty-six thousand, one hundred sixty-eight".