681168 has 40 divisors (see below), whose sum is σ = 1839168. Its totient is φ = 216832.

The previous prime is 681167. The next prime is 681179. The reversal of 681168 is 861186.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796 + ... + 1412.

2⁶⁸¹¹⁶⁸ 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 681168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919584).

681168 is an abundant number, since it is smaller than the sum of its proper divisors (1158000).

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

681168 is a wasteful number, since it uses less digits than its factorization.

681168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 681168 is about 825.3290252984. The cubic root of 681168 is about 87.9869126543.

The spelling of 681168 in words is "six hundred eighty-one thousand, one hundred sixty-eight".