6968 has 16 divisors (see below), whose sum is σ = 14280. Its totient is φ = 3168.

The previous prime is 6967. The next prime is 6971. The reversal of 6968 is 8696.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961) 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 3 ways as a sum of consecutive naturals, for example, 71 + ... + 137.

2⁶⁹⁶⁸ 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 6968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140).

6968 is an abundant number, since it is smaller than the sum of its proper divisors (7312).

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

6968 is a wasteful number, since it uses less digits than its factorization.

6968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 6968 is about 83.4745470188. The cubic root of 6968 is about 19.1001178688.

Subtracting 6968 from its reverse (8696), we obtain a cube (1728 = 12³).

The spelling of 6968 in words is "six thousand, nine hundred sixty-eight".