12866000 has 80 divisors (see below), whose sum is σ = 35592960. Its totient is φ = 4406400.

The previous prime is 12865999. The next prime is 12866011. The reversal of 12866000 is 66821.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13541 + ... + 14459.

It is an arithmetic number, because the mean of its divisors is an integer number (444912).

Almost surely, 2^12866000 is an apocalyptic number.

12866000 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 12866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17796480).

12866000 is an abundant number, since it is smaller than the sum of its proper divisors (22726960).

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

12866000 is an equidigital number, since it uses as much as digits as its factorization.

12866000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 12866000 is about 3586.9206849330. The cubic root of 12866000 is about 234.3227824411.

The spelling of 12866000 in words is "twelve million, eight hundred sixty-six thousand".