6826032 has 100 divisors (see below), whose sum is σ = 20705520. Its totient is φ = 2166912.

The previous prime is 6826007. The next prime is 6826051. The reversal of 6826032 is 2306286.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6825987 and 6826005.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 29694 + ... + 29922.

Almost surely, 2^6826032 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 6826032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352760).

6826032 is an abundant number, since it is smaller than the sum of its proper divisors (13879488).

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

6826032 is a wasteful number, since it uses less digits than its factorization.

6826032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6826032 is about 2612.6676022793. The cubic root of 6826032 is about 189.6950973031.

The spelling of 6826032 in words is "six million, eight hundred twenty-six thousand, thirty-two".