12782540 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 4842240.

The previous prime is 12782513. The next prime is 12782599. The reversal of 12782540 is 4528721.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32666 + ... + 33054.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^12782540 is an apocalyptic number.

12782540 is a gapful number since it is divisible by the number (10) 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 12782540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

12782540 is an abundant number, since it is smaller than the sum of its proper divisors (15522100).

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

12782540 is a wasteful number, since it uses less digits than its factorization.

12782540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 12782540 is about 3575.2678221358. The cubic root of 12782540 is about 233.8150095140.

The spelling of 12782540 in words is "twelve million, seven hundred eighty-two thousand, five hundred forty".