12806000 has 80 divisors (see below), whose sum is σ = 32691360. Its totient is φ = 4838400.

The previous prime is 12805993. The next prime is 12806041. The reversal of 12806000 is 60821.

12806000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12806000.

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, 37832 + ... + 38168.

It is an arithmetic number, because the mean of its divisors is an integer number (408642).

Almost surely, 2^12806000 is an apocalyptic number.

12806000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345680).

12806000 is an abundant number, since it is smaller than the sum of its proper divisors (19885360).

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

12806000 is a wasteful number, since it uses less digits than its factorization.

12806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12806000 is about 3578.5471912495. The cubic root of 12806000 is about 233.9579635693.

Adding to 12806000 its reverse (60821), we get a palindrome (12866821).

The spelling of 12806000 in words is "twelve million, eight hundred six thousand".