12567264 has 48 divisors (see below), whose sum is σ = 33319440. Its totient is φ = 4147200.

The previous prime is 12567259. The next prime is 12567287. The reversal of 12567264 is 46276521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12567264² = 315872248891392, 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 7 ways as a sum of consecutive naturals, for example, 9864 + ... + 11064.

It is an arithmetic number, because the mean of its divisors is an integer number (694155).

Almost surely, 2^12567264 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 12567264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16659720).

12567264 is an abundant number, since it is smaller than the sum of its proper divisors (20752176).

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

12567264 is a wasteful number, since it uses less digits than its factorization.

12567264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1315 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 12567264 is about 3545.0337092897. The cubic root of 12567264 is about 232.4949796580.

The spelling of 12567264 in words is "twelve million, five hundred sixty-seven thousand, two hundred sixty-four".