6825870 has 72 divisors (see below), whose sum is σ = 18758376. Its totient is φ = 1785888.

The previous prime is 6825829. The next prime is 6825877. The reversal of 6825870 is 785286.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825877) 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 35 ways as a sum of consecutive naturals, for example, 128764 + ... + 128816.

It is an arithmetic number, because the mean of its divisors is an integer number (260533).

Almost surely, 2^6825870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9379188).

6825870 is an abundant number, since it is smaller than the sum of its proper divisors (11932506).

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

6825870 is an equidigital number, since it uses as much as digits as its factorization.

6825870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6825870 is about 2612.6365992996. The cubic root of 6825870 is about 189.6935966338.

The spelling of 6825870 in words is "six million, eight hundred twenty-five thousand, eight hundred seventy".