6825984 has 96 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 2048000.

The previous prime is 6825979. The next prime is 6825989. The reversal of 6825984 is 4895286.

It is an interprime number because it is at equal distance from previous prime (6825979) and next prime (6825989).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6825989) 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, 67534 + ... + 67634.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^6825984 is an apocalyptic number.

6825984 is a gapful number since it is divisible by the number (64) 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 6825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

6825984 is an abundant number, since it is smaller than the sum of its proper divisors (13223136).

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

6825984 is a wasteful number, since it uses less digits than its factorization.

6825984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 6825984 is about 2612.6584162496. The cubic root of 6825984 is about 189.6946526628.

It can be divided in two parts, 682 and 5984, that added together give a palindrome (6666).

The spelling of 6825984 in words is "six million, eight hundred twenty-five thousand, nine hundred eighty-four".