12643792 has 40 divisors (see below), whose sum is σ = 28371200. Its totient is φ = 5346432.

The previous prime is 12643783. The next prime is 12643793. The reversal of 12643792 is 29734621.

12643792 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×12643792² = 319730952278528, which contains 22 as substring.

12643792 is a modest number, since divided by 3792 gives 1264 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12643793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8134 + ... + 9562.

It is an arithmetic number, because the mean of its divisors is an integer number (709280).

Almost surely, 2^12643792 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 12643792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185600).

12643792 is an abundant number, since it is smaller than the sum of its proper divisors (15727408).

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

12643792 is a wasteful number, since it uses less digits than its factorization.

12643792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1517 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 12643792 is about 3555.8110186004. The cubic root of 12643792 is about 232.9659488390.

The spelling of 12643792 in words is "twelve million, six hundred forty-three thousand, seven hundred ninety-two".