6829120 has 28 divisors (see below), whose sum is σ = 16262604. Its totient is φ = 2731520.

The previous prime is 6829111. The next prime is 6829129. The reversal of 6829120 is 219286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6829111) and next prime (6829129).

It can be written as a sum of positive squares in 2 ways, for example, as 5271616 + 1557504 = 2296^2 + 1248^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6829129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10351 + ... + 10990.

Almost surely, 2^6829120 is an apocalyptic number.

It is an amenable number.

6829120 is an abundant number, since it is smaller than the sum of its proper divisors (9433484).

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

6829120 is a wasteful number, since it uses less digits than its factorization.

6829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21358 (or 21348 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 6829120 is about 2613.2585023300. The cubic root of 6829120 is about 189.7236981139.

The spelling of 6829120 in words is "six million, eight hundred twenty-nine thousand, one hundred twenty".