6806000 has 80 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 2624000.

The previous prime is 6805991. The next prime is 6806017. The reversal of 6806000 is 6086.

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 a congruent number.

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, 81959 + ... + 82041.

Almost surely, 2^6806000 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 6806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

6806000 is an abundant number, since it is smaller than the sum of its proper divisors (10255408).

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

6806000 is a wasteful number, since it uses less digits than its factorization.

6806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6806000 is about 2608.8311559010. The cubic root of 6806000 is about 189.5093527175.

The spelling of 6806000 in words is "six million, eight hundred six thousand".