6825840 has 160 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 1462272.

The previous prime is 6825829. The next prime is 6825877. The reversal of 6825840 is 485286.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28441 + ... + 28679.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 2^6825840 is an apocalyptic number.

6825840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

6825840 is an abundant number, since it is smaller than the sum of its proper divisors (18886800).

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

6825840 is a wasteful number, since it uses less digits than its factorization.

6825840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 6825840 is about 2612.6308579667. The cubic root of 6825840 is about 189.6933187295.

The spelling of 6825840 in words is "six million, eight hundred twenty-five thousand, eight hundred forty".