12626000 has 80 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 4918400.

The previous prime is 12625999. The next prime is 12626023. The reversal of 12626000 is 62621.

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 12626000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117947 + ... + 118053.

It is an arithmetic number, because the mean of its divisors is an integer number (391716).

Almost surely, 2^12626000 is an apocalyptic number.

12626000 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 12626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

12626000 is an abundant number, since it is smaller than the sum of its proper divisors (18711280).

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

12626000 is a wasteful number, since it uses less digits than its factorization.

12626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 12626000 is about 3553.3083176105. The cubic root of 12626000 is about 232.8566230952.

Adding to 12626000 its reverse (62621), we get a palindrome (12688621).

The spelling of 12626000 in words is "twelve million, six hundred twenty-six thousand".