6830304 has 72 divisors (see below), whose sum is σ = 19460952. Its totient is φ = 2096640.

The previous prime is 6830303. The next prime is 6830339. The reversal of 6830304 is 4030386.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16014 + ... + 16434.

It is an arithmetic number, because the mean of its divisors is an integer number (270291).

Almost surely, 2^6830304 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 6830304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9730476).

6830304 is an abundant number, since it is smaller than the sum of its proper divisors (12630648).

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

6830304 is a wasteful number, since it uses less digits than its factorization.

6830304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6830304 is about 2613.4850296108. The cubic root of 6830304 is about 189.7346619413.

It can be divided in two parts, 6 and 830304, that multiplied together give a square (4981824 = 2232²).

The spelling of 6830304 in words is "six million, eight hundred thirty thousand, three hundred four".