12567648 has 96 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 3916800.

The previous prime is 12567631. The next prime is 12567661. The reversal of 12567648 is 84676521.

12567648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (80640) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

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, 121965 + ... + 122067.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^12567648 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 12567648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

12567648 is an abundant number, since it is smaller than the sum of its proper divisors (22655904).

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

12567648 is a wasteful number, since it uses less digits than its factorization.

12567648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 12567648 is about 3545.0878691508. The cubic root of 12567648 is about 232.4973476400.

The spelling of 12567648 in words is "twelve million, five hundred sixty-seven thousand, six hundred forty-eight".