12784096 has 48 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 5810688.

The previous prime is 12784091. The next prime is 12784097. The reversal of 12784096 is 69048721.

12784096 is a nontrivial binomial coefficient, being equal to C(5057, 2).

It is a super-2 number, since 2×12784096² = 326866221074432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12784091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32670 + ... + 33058.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^12784096 is an apocalyptic number.

12784096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12784096 is the 5056-th triangular number.

12784096 is the 1686-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

12784096 is an abundant number, since it is smaller than the sum of its proper divisors (14734304).

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

12784096 is a wasteful number, since it uses less digits than its factorization.

12784096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 12784096 is about 3575.4854215896. The cubic root of 12784096 is about 233.8244964494.

The spelling of 12784096 in words is "twelve million, seven hundred eighty-four thousand, ninety-six".