12875600 has 30 divisors (see below), whose sum is σ = 30934590. Its totient is φ = 5150080.

The previous prime is 12875557. The next prime is 12875617. The reversal of 12875600 is 657821.

It can be written as a sum of positive squares in 3 ways, for example, as 287296 + 12588304 = 536^2 + 3548^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15695 + ... + 16494.

It is an arithmetic number, because the mean of its divisors is an integer number (1031153).

Almost surely, 2^12875600 is an apocalyptic number.

12875600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12875600 is an abundant number, since it is smaller than the sum of its proper divisors (18058990).

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

12875600 is a wasteful number, since it uses less digits than its factorization.

12875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32207 (or 32196 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 12875600 is about 3588.2586305895. The cubic root of 12875600 is about 234.3810481402.

The spelling of 12875600 in words is "twelve million, eight hundred seventy-five thousand, six hundred".