6906 has 8 divisors (see below), whose sum is σ = 13824. Its totient is φ = 2300.

The previous prime is 6899. The next prime is 6907. The reversal of 6906 is 6096.

It is a sphenic number, since it is the product of 3 distinct primes.

6906 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6907) by changing a digit.

6906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2⁶⁹⁰⁶ is an apocalyptic number.

6906 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912).

6906 is a wasteful number, since it uses less digits than its factorization.

6906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 6906 is about 83.1023465373. The cubic root of 6906 is about 19.0432992188.

It can be divided in two parts, 690 and 6, that added together give a palindrome (696).

The spelling of 6906 in words is "six thousand, nine hundred six".