6825000 has 192 divisors, whose sum is σ = 26248320. Its totient is φ = 1440000.

The previous prime is 6824981. The next prime is 6825001. The reversal of 6825000 is 5286.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524994 + ... + 525006.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^6825000 is an apocalyptic number.

6825000 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 6825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

6825000 is an abundant number, since it is smaller than the sum of its proper divisors (19423320).

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

6825000 is a wasteful number, since it uses less digits than its factorization.

6825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 6825000 is about 2612.4700955226. The cubic root of 6825000 is about 189.6855370780.

The spelling of 6825000 in words is "six million, eight hundred twenty-five thousand".