6830784 has 112 divisors (see below), whose sum is σ = 20726400. Its totient is φ = 2204928.

The previous prime is 6830783. The next prime is 6830797. The reversal of 6830784 is 4870386.

It is a super-2 number, since 2×6830784² = 93319220109312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6830783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101919 + ... + 101985.

Almost surely, 2^6830784 is an apocalyptic number.

6830784 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10363200).

6830784 is an abundant number, since it is smaller than the sum of its proper divisors (13895616).

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

6830784 is a wasteful number, since it uses less digits than its factorization.

6830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6830784 is about 2613.5768594017. The cubic root of 6830784 is about 189.7391063752.

The spelling of 6830784 in words is "six million, eight hundred thirty thousand, seven hundred eighty-four".