6816312 has 80 divisors (see below), whose sum is σ = 19500360. Its totient is φ = 2223936.

The previous prime is 6816301. The next prime is 6816331. The reversal of 6816312 is 2136186.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 43338 + ... + 43494.

Almost surely, 2^6816312 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 6816312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9750180).

6816312 is an abundant number, since it is smaller than the sum of its proper divisors (12684048).

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

6816312 is a wasteful number, since it uses less digits than its factorization.

6816312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6816312 is about 2610.8067718619. The cubic root of 6816312 is about 189.6050150893.

The spelling of 6816312 in words is "six million, eight hundred sixteen thousand, three hundred twelve".