6982008 has 64 divisors (see below), whose sum is σ = 19440000. Its totient is φ = 2071680.

The previous prime is 6981983. The next prime is 6982009. The reversal of 6982008 is 8002896.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 6982008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6982009) 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 15 ways as a sum of consecutive naturals, for example, 13743 + ... + 14241.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 2^6982008 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 6982008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720000).

6982008 is an abundant number, since it is smaller than the sum of its proper divisors (12457992).

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

6982008 is a wasteful number, since it uses less digits than its factorization.

6982008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6982008 is about 2642.3489550020. The cubic root of 6982008 is about 191.1290850030.

The spelling of 6982008 in words is "six million, nine hundred eighty-two thousand, eight".