12785640 has 128 divisors (see below), whose sum is σ = 45342720. Its totient is φ = 2822400.

The previous prime is 12785627. The next prime is 12785653. The reversal of 12785640 is 4658721.

12785640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12785627) and next prime (12785653).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25795 + ... + 26285.

It is an arithmetic number, because the mean of its divisors is an integer number (354240).

Almost surely, 2^12785640 is an apocalyptic number.

12785640 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 12785640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671360).

12785640 is an abundant number, since it is smaller than the sum of its proper divisors (32557080).

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

12785640 is a wasteful number, since it uses less digits than its factorization.

12785640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12785640 is about 3575.7013298093. The cubic root of 12785640 is about 233.8339094599.

The spelling of 12785640 in words is "twelve million, seven hundred eighty-five thousand, six hundred forty".