12967824 has 20 divisors (see below), whose sum is σ = 33500336. Its totient is φ = 4322592.

The previous prime is 12967819. The next prime is 12967831. The reversal of 12967824 is 42876921.

It is a super-3 number, since 3×12967824³ (a number of 22 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 135034 + ... + 135129.

Almost surely, 2^12967824 is an apocalyptic number.

It is an amenable number.

12967824 is an abundant number, since it is smaller than the sum of its proper divisors (20532512).

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

12967824 is a wasteful number, since it uses less digits than its factorization.

12967824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270174 (or 270168 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 12967824 is about 3601.0865027100. The cubic root of 12967824 is about 234.9393173632.

The spelling of 12967824 in words is "twelve million, nine hundred sixty-seven thousand, eight hundred twenty-four".