12783936 has 56 divisors (see below), whose sum is σ = 36905184. Its totient is φ = 3873280.

The previous prime is 12783931. The next prime is 12783973. The reversal of 12783936 is 63938721.

It is a junction number, because it is equal to n+sod(n) for n = 12783894 and 12783903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12783931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 915 + ... + 5138.

Almost surely, 2^12783936 is an apocalyptic number.

12783936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12783936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18452592).

12783936 is an abundant number, since it is smaller than the sum of its proper divisors (24121248).

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

12783936 is a wasteful number, since it uses less digits than its factorization.

12783936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6069 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 12783936 is about 3575.4630469353. The cubic root of 12783936 is about 233.8235209646.

The spelling of 12783936 in words is "twelve million, seven hundred eighty-three thousand, nine hundred thirty-six".