6823936 has 84 divisors (see below), whose sum is σ = 16808958. Its totient is φ = 2752512.

The previous prime is 6823933. The next prime is 6823963. The reversal of 6823936 is 6393286.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5017600 + 1806336 = 2240^2 + 1344^2 .

It is a super-2 number, since 2×6823936² = 93132205064192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6823895 and 6823904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 401400 + ... + 401416.

Almost surely, 2^6823936 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 6823936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404479).

6823936 is an abundant number, since it is smaller than the sum of its proper divisors (9985022).

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

6823936 is an equidigital number, since it uses as much as digits as its factorization.

6823936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 26 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 6823936 is about 2612.2664488907. The cubic root of 6823936 is about 189.6756794028.

The spelling of 6823936 in words is "six million, eight hundred twenty-three thousand, nine hundred thirty-six".