6829746 has 32 divisors (see below), whose sum is σ = 17031168. Its totient is φ = 1773840.

The previous prime is 6829729. The next prime is 6829751. The reversal of 6829746 is 6479286.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6829698 and 6829707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6930 + ... + 7853.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 2^6829746 is an apocalyptic number.

6829746 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6829746 is an abundant number, since it is smaller than the sum of its proper divisors (10201422).

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

6829746 is a wasteful number, since it uses less digits than its factorization.

6829746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806.

The product of its digits is 145152, while the sum is 42.

The square root of 6829746 is about 2613.3782734231. The cubic root of 6829746 is about 189.7294950251.

The spelling of 6829746 in words is "six million, eight hundred twenty-nine thousand, seven hundred forty-six".