12608000 has 80 divisors (see below), whose sum is σ = 31598424. Its totient is φ = 5017600.

The previous prime is 12607939. The next prime is 12608017. The reversal of 12608000 is 80621.

It can be written as a sum of positive squares in 4 ways, for example, as 7661824 + 4946176 = 2768^2 + 2224^2 .

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 12608000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63902 + ... + 64098.

Almost surely, 2^12608000 is an apocalyptic number.

12608000 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 12608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799212).

12608000 is an abundant number, since it is smaller than the sum of its proper divisors (18990424).

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

12608000 is an frugal number, since it uses more digits than its factorization.

12608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

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

The square root of 12608000 is about 3550.7745633875. The cubic root of 12608000 is about 232.7459146999.

Adding to 12608000 its reverse (80621), we get a palindrome (12688621).

The spelling of 12608000 in words is "twelve million, six hundred eight thousand".