6982400 has 54 divisors (see below), whose sum is σ = 17298372. Its totient is φ = 2790400.

The previous prime is 6982397. The next prime is 6982403. The reversal of 6982400 is 42896.

It is an interprime number because it is at equal distance from previous prime (6982397) and next prime (6982403).

It is not an unprimeable number, because it can be changed into a prime (6982403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5855 + ... + 6945.

Almost surely, 2^6982400 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 6982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649186).

6982400 is an abundant number, since it is smaller than the sum of its proper divisors (10315972).

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

6982400 is a wasteful number, since it uses less digits than its factorization.

6982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 6982400 is about 2642.4231303862. The cubic root of 6982400 is about 191.1326618728.

The spelling of 6982400 in words is "six million, nine hundred eighty-two thousand, four hundred".