6829816 has 64 divisors (see below), whose sum is σ = 15840000. Its totient is φ = 2751840.

The previous prime is 6829811. The next prime is 6829817. The reversal of 6829816 is 6189286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829811) 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, 52071 + ... + 52201.

It is an arithmetic number, because the mean of its divisors is an integer number (247500).

Almost surely, 2^6829816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6829816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920000).

6829816 is an abundant number, since it is smaller than the sum of its proper divisors (9010184).

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

6829816 is a wasteful number, since it uses less digits than its factorization.

6829816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 6829816 is about 2613.3916660156. The cubic root of 6829816 is about 189.7301432200.

The spelling of 6829816 in words is "six million, eight hundred twenty-nine thousand, eight hundred sixteen".