684168 has 32 divisors (see below), whose sum is σ = 1771200. Its totient is φ = 219968.

The previous prime is 684163. The next prime is 684191. The reversal of 684168 is 861486.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (684163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (55350).

2⁶⁸⁴¹⁶⁸ 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 684168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885600).

684168 is an abundant number, since it is smaller than the sum of its proper divisors (1087032).

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

684168 is a wasteful number, since it uses less digits than its factorization.

684168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1017 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 684168 is about 827.1444855646. The cubic root of 684168 is about 88.1158941348.

The spelling of 684168 in words is "six hundred eighty-four thousand, one hundred sixty-eight".