6813312 has 64 divisors (see below), whose sum is σ = 19755360. Its totient is φ = 2063360.

The previous prime is 6813299. The next prime is 6813349. The reversal of 6813312 is 2133186.

6813312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3418 + ... + 5030.

Almost surely, 2^6813312 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 6813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877680).

6813312 is an abundant number, since it is smaller than the sum of its proper divisors (12942048).

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

6813312 is a wasteful number, since it uses less digits than its factorization.

6813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1629 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 6813312 is about 2610.2321735815. The cubic root of 6813312 is about 189.5771946435.

Adding to 6813312 its reverse (2133186), we get a palindrome (8946498).

It can be divided in two parts, 681 and 3312, that added together give a palindrome (3993).

The spelling of 6813312 in words is "six million, eight hundred thirteen thousand, three hundred twelve".