6803406 has 48 divisors (see below), whose sum is σ = 16002000. Its totient is φ = 2142288.

The previous prime is 6803399. The next prime is 6803411. The reversal of 6803406 is 6043086.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6803406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19320 + ... + 19668.

It is an arithmetic number, because the mean of its divisors is an integer number (333375).

Almost surely, 2^6803406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6803406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001000).

6803406 is an abundant number, since it is smaller than the sum of its proper divisors (9198594).

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

6803406 is a wasteful number, since it uses less digits than its factorization.

6803406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6803406 is about 2608.3339510116. Note that the first 3 decimals coincide. The cubic root of 6803406 is about 189.4852734870.

The spelling of 6803406 in words is "six million, eight hundred three thousand, four hundred six".