6818000 has 80 divisors (see below), whose sum is σ = 18879744. Its totient is φ = 2332800.

The previous prime is 6817999. The next prime is 6818011. The reversal of 6818000 is 8186.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13757 + ... + 14243.

Almost surely, 2^6818000 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 6818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439872).

6818000 is an abundant number, since it is smaller than the sum of its proper divisors (12061744).

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

6818000 is a wasteful number, since it uses less digits than its factorization.

6818000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 6818000 is about 2611.1300235722. The cubic root of 6818000 is about 189.6206651382.

The spelling of 6818000 in words is "six million, eight hundred eighteen thousand".