6681168 has 120 divisors (see below), whose sum is σ = 20852832. Its totient is φ = 1983744.

The previous prime is 6681167. The next prime is 6681193. The reversal of 6681168 is 8611866.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (13824) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6681161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80455 + ... + 80537.

Almost surely, 2^6681168 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 6681168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426416).

6681168 is an abundant number, since it is smaller than the sum of its proper divisors (14171664).

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

6681168 is a wasteful number, since it uses less digits than its factorization.

6681168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 6681168 is about 2584.7955431716. The cubic root of 6681168 is about 188.3435697223.

The spelling of 6681168 in words is "six million, six hundred eighty-one thousand, one hundred sixty-eight".