6982000 has 40 divisors (see below), whose sum is σ = 16887312. Its totient is φ = 2792000.

The previous prime is 6981983. The next prime is 6982009. The reversal of 6982000 is 2896.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 3745.

Almost surely, 2^6982000 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 6982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443656).

6982000 is an abundant number, since it is smaller than the sum of its proper divisors (9905312).

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

6982000 is a wasteful number, since it uses less digits than its factorization.

6982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 6982000 is about 2642.3474411969. The cubic root of 6982000 is about 191.1290120043.

Adding to 6982000 its reverse (2896), we get a palindrome (6984896).

The spelling of 6982000 in words is "six million, nine hundred eighty-two thousand".