6829830 has 96 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 1513728.

The previous prime is 6829817. The next prime is 6829897. The reversal of 6829830 is 389286.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23164 + ... + 23456.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^6829830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6829830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

6829830 is an abundant number, since it is smaller than the sum of its proper divisors (14084154).

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

6829830 is a wasteful number, since it uses less digits than its factorization.

6829830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6829830 is about 2613.3943445259. The cubic root of 6829830 is about 189.7302728584.

The spelling of 6829830 in words is "six million, eight hundred twenty-nine thousand, eight hundred thirty".