6825936 has 40 divisors (see below), whose sum is σ = 18991840. Its totient is φ = 2100096.

The previous prime is 6825919. The next prime is 6825943. The reversal of 6825936 is 6395286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 6825894 and 6825903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4846 + ... + 6093.

It is an arithmetic number, because the mean of its divisors is an integer number (474796).

Almost surely, 2^6825936 is an apocalyptic number.

It is an amenable number.

6825936 is an abundant number, since it is smaller than the sum of its proper divisors (12165904).

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

6825936 is a wasteful number, since it uses less digits than its factorization.

6825936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10963 (or 10957 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 6825936 is about 2612.6492301876. The cubic root of 6825936 is about 189.6942080205.

The spelling of 6825936 in words is "six million, eight hundred twenty-five thousand, nine hundred thirty-six".