6814368 has 120 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 2056320.

The previous prime is 6814363. The next prime is 6814373. The reversal of 6814368 is 8634186.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6814363) and next prime (6814373).

It is a super-2 number, since 2×6814368² = 92871222478848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (6814361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28393 + ... + 28631.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^6814368 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 6814368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

6814368 is an abundant number, since it is smaller than the sum of its proper divisors (15139872).

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

6814368 is a wasteful number, since it uses less digits than its factorization.

6814368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6814368 is about 2610.4344466008. The cubic root of 6814368 is about 189.5869883716.

The spelling of 6814368 in words is "six million, eight hundred fourteen thousand, three hundred sixty-eight".