12644000 has 96 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 4838400.

The previous prime is 12643999. The next prime is 12644017. The reversal of 12644000 is 44621.

It can be written as a sum of positive squares in 8 ways, for example, as 1056784 + 11587216 = 1028^2 + 3404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12644000.

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, 115946 + ... + 116054.

Almost surely, 2^12644000 is an apocalyptic number.

12644000 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 12644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

12644000 is an abundant number, since it is smaller than the sum of its proper divisors (19788400).

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

12644000 is a wasteful number, since it uses less digits than its factorization.

12644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 12644000 is about 3555.8402663787. The cubic root of 12644000 is about 232.9672263210.

Adding to 12644000 its reverse (44621), we get a palindrome (12688621).

The spelling of 12644000 in words is "twelve million, six hundred forty-four thousand".