6814000 has 40 divisors (see below), whose sum is σ = 16481088. Its totient is φ = 2724800.

The previous prime is 6813977. The next prime is 6814001. The reversal of 6814000 is 4186.

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

It is not an unprimeable number, because it can be changed into a prime (6814001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297 + ... + 3703.

Almost surely, 2^6814000 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 6814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240544).

6814000 is an abundant number, since it is smaller than the sum of its proper divisors (9667088).

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

6814000 is a wasteful number, since it uses less digits than its factorization.

6814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 6814000 is about 2610.3639592976. The cubic root of 6814000 is about 189.5835755206.

Adding to 6814000 its reverse (4186), we get a palindrome (6818186).

The spelling of 6814000 in words is "six million, eight hundred fourteen thousand".