6825940 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 2217600.

The previous prime is 6825919. The next prime is 6825943. The reversal of 6825940 is 495286.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6825896 and 6825905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825943) 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 31 ways as a sum of consecutive naturals, for example, 96105 + ... + 96175.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^6825940 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 6825940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

6825940 is an abundant number, since it is smaller than the sum of its proper divisors (10592300).

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

6825940 is a wasteful number, since it uses less digits than its factorization.

6825940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 6825940 is about 2612.6499956940. The cubic root of 6825940 is about 189.6942450741.

The spelling of 6825940 in words is "six million, eight hundred twenty-five thousand, nine hundred forty".