12782560 has 96 divisors (see below), whose sum is σ = 35163072. Its totient is φ = 4300800.

The previous prime is 12782513. The next prime is 12782599. The reversal of 12782560 is 6528721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113064 + ... + 113176.

It is an arithmetic number, because the mean of its divisors is an integer number (366282).

Almost surely, 2^12782560 is an apocalyptic number.

12782560 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 12782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581536).

12782560 is an abundant number, since it is smaller than the sum of its proper divisors (22380512).

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

12782560 is a wasteful number, since it uses less digits than its factorization.

12782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 12782560 is about 3575.2706191280. The cubic root of 12782560 is about 233.8151314590.

The spelling of 12782560 in words is "twelve million, seven hundred eighty-two thousand, five hundred sixty".