6829050 has 48 divisors (see below), whose sum is σ = 17275680. Its totient is φ = 1784640.

The previous prime is 6829049. The next prime is 6829051. The reversal of 6829050 is 509286.

It is an interprime number because it is at equal distance from previous prime (6829049) and next prime (6829051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6828999 and 6829017.

It is not an unprimeable number, because it can be changed into a prime (6829051) 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 23 ways as a sum of consecutive naturals, for example, 7521 + ... + 8379.

It is an arithmetic number, because the mean of its divisors is an integer number (359910).

Almost surely, 2^6829050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6829050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637840).

6829050 is an abundant number, since it is smaller than the sum of its proper divisors (10446630).

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

6829050 is a wasteful number, since it uses less digits than its factorization.

6829050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 6829050 is about 2613.2451090550. The cubic root of 6829050 is about 189.7230498750.

The spelling of 6829050 in words is "six million, eight hundred twenty-nine thousand, fifty".