12626400 has 72 divisors (see below), whose sum is σ = 41106744. Its totient is φ = 3366400.

The previous prime is 12626387. The next prime is 12626417. The reversal of 12626400 is 462621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 5030.

It is an arithmetic number, because the mean of its divisors is an integer number (570927).

Almost surely, 2^12626400 is an apocalyptic number.

12626400 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 12626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553372).

12626400 is an abundant number, since it is smaller than the sum of its proper divisors (28480344).

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

12626400 is a wasteful number, since it uses less digits than its factorization.

12626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12626400 is about 3553.3646027392. The cubic root of 12626400 is about 232.8590820863.

The spelling of 12626400 in words is "twelve million, six hundred twenty-six thousand, four hundred".