6916 has 24 divisors (see below), whose sum is σ = 15680. Its totient is φ = 2592.

The previous prime is 6911. The next prime is 6917. The reversal of 6916 is 6196.

6916 = 4² + 5² + ... + 27².

6916 is nontrivially palindromic in base 12.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355 + ... + 373.

2⁶⁹¹⁶ 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 6916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840).

6916 is an abundant number, since it is smaller than the sum of its proper divisors (8764).

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

6916 is a wasteful number, since it uses less digits than its factorization.

6916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 41 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 6916 is about 83.1624915452. The cubic root of 6916 is about 19.0524864545.

The spelling of 6916 in words is "six thousand, nine hundred sixteen".