6824832 has 64 divisors (see below), whose sum is σ = 20726400. Its totient is φ = 1949184.

The previous prime is 6824809. The next prime is 6824833. The reversal of 6824832 is 2384286.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6824793 and 6824802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6824833) 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 7 ways as a sum of consecutive naturals, for example, 1419 + ... + 3957.

It is an arithmetic number, because the mean of its divisors is an integer number (323850).

Almost surely, 2^6824832 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 6824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10363200).

6824832 is an abundant number, since it is smaller than the sum of its proper divisors (13901568).

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

6824832 is a wasteful number, since it uses less digits than its factorization.

6824832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2551 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 6824832 is about 2612.4379418467. The cubic root of 6824832 is about 189.6839806711.

The spelling of 6824832 in words is "six million, eight hundred twenty-four thousand, eight hundred thirty-two".