12759648 has 96 divisors (see below), whose sum is σ = 37521792. Its totient is φ = 3763200.

The previous prime is 12759647. The next prime is 12759653. The reversal of 12759648 is 84695721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12759647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45268 + ... + 45548.

It is an arithmetic number, because the mean of its divisors is an integer number (390852).

Almost surely, 2^12759648 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 12759648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760896).

12759648 is an abundant number, since it is smaller than the sum of its proper divisors (24762144).

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

12759648 is a wasteful number, since it uses less digits than its factorization.

12759648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 12759648 is about 3572.0649490176. The cubic root of 12759648 is about 233.6753478713.

The spelling of 12759648 in words is "twelve million, seven hundred fifty-nine thousand, six hundred forty-eight".