6984000 has 168 divisors, whose sum is σ = 25240488. Its totient is φ = 1843200.

The previous prime is 6983993. The next prime is 6984023. The reversal of 6984000 is 4896.

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 6594624 = 624^2 + 2568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71952 + ... + 72048.

It is an arithmetic number, because the mean of its divisors is an integer number (150241).

Almost surely, 2^6984000 is an apocalyptic number.

6984000 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 6984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620244).

6984000 is an abundant number, since it is smaller than the sum of its proper divisors (18256488).

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

6984000 is a wasteful number, since it uses less digits than its factorization.

6984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6984000 is about 2642.7258654654. The cubic root of 6984000 is about 191.1472599528.

Adding to 6984000 its reverse (4896), we get a palindrome (6988896).

The spelling of 6984000 in words is "six million, nine hundred eighty-four thousand".