12705264 has 120 divisors (see below), whose sum is σ = 41841072. Its totient is φ = 3548160.

The previous prime is 12705229. The next prime is 12705271. The reversal of 12705264 is 46250721.

It is a super-2 number, since 2×12705264² = 322847466619392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20284 + ... + 20900.

Almost surely, 2^12705264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12705264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20920536).

12705264 is an abundant number, since it is smaller than the sum of its proper divisors (29135808).

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

12705264 is a wasteful number, since it uses less digits than its factorization.

12705264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12705264 is about 3564.4444167359. Note that the first 4 decimals coincide. The cubic root of 12705264 is about 233.3428857767.

Adding to 12705264 its reverse (46250721), we get a palindrome (58955985).

The spelling of 12705264 in words is "twelve million, seven hundred five thousand, two hundred sixty-four".