6882834 has 48 divisors (see below), whose sum is σ = 16432416. Its totient is φ = 1915200.

The previous prime is 6882833. The next prime is 6882839. The reversal of 6882834 is 4382886.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6882792 and 6882801.

It is not an unprimeable number, because it can be changed into a prime (6882833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11769 + ... + 12339.

It is an arithmetic number, because the mean of its divisors is an integer number (342342).

Almost surely, 2^6882834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6882834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216208).

6882834 is an abundant number, since it is smaller than the sum of its proper divisors (9549582).

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

6882834 is a wasteful number, since it uses less digits than its factorization.

6882834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 624 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 6882834 is about 2623.5155802854. The cubic root of 6882834 is about 190.2198194519.

The spelling of 6882834 in words is "six million, eight hundred eighty-two thousand, eight hundred thirty-four".