6824000 has 56 divisors (see below), whose sum is σ = 16919448. Its totient is φ = 2726400.

The previous prime is 6823991. The next prime is 6824003. The reversal of 6824000 is 4286.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 5345344 = 1216^2 + 2312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (6824003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7574 + ... + 8426.

It is an arithmetic number, because the mean of its divisors is an integer number (302133).

Almost surely, 2^6824000 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 6824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8459724).

6824000 is an abundant number, since it is smaller than the sum of its proper divisors (10095448).

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

6824000 is an equidigital number, since it uses as much as digits as its factorization.

6824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6824000 is about 2612.2786987609. The cubic root of 6824000 is about 189.6762723746.

Adding to 6824000 its reverse (4286), we get a palindrome (6828286).

The spelling of 6824000 in words is "six million, eight hundred twenty-four thousand".