6842000 has 80 divisors (see below), whose sum is σ = 18105984. Its totient is φ = 2480000.

The previous prime is 6841993. The next prime is 6842021. The reversal of 6842000 is 2486.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21845 + ... + 22155.

Almost surely, 2^6842000 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 6842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052992).

6842000 is an abundant number, since it is smaller than the sum of its proper divisors (11263984).

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

6842000 is a wasteful number, since it uses less digits than its factorization.

6842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6842000 is about 2615.7216977347. The cubic root of 6842000 is about 189.8428987611.

Adding to 6842000 its reverse (2486), we get a palindrome (6844486).

The spelling of 6842000 in words is "six million, eight hundred forty-two thousand".