6823540 has 24 divisors (see below), whose sum is σ = 14718312. Its totient is φ = 2655360.

The previous prime is 6823501. The next prime is 6823543. The reversal of 6823540 is 453286.

It can be written as a sum of positive squares in 4 ways, for example, as 3481956 + 3341584 = 1866^2 + 1828^2 .

It is a d-powerful number, because it can be written as 6 + 8³ + 2²¹ + 3¹² + 5³ + 4¹¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 6823499 and 6823508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823543) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3871 + ... + 5350.

It is an arithmetic number, because the mean of its divisors is an integer number (613263).

Almost surely, 2^6823540 is an apocalyptic number.

It is an amenable number.

6823540 is an abundant number, since it is smaller than the sum of its proper divisors (7894772).

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

6823540 is a wasteful number, since it uses less digits than its factorization.

6823540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6823540 is about 2612.1906515413. The cubic root of 6823540 is about 189.6720103071.

The spelling of 6823540 in words is "six million, eight hundred twenty-three thousand, five hundred forty".