12785920 has 72 divisors (see below), whose sum is σ = 35025984. Its totient is φ = 4380672.

The previous prime is 12785869. The next prime is 12785933. The reversal of 12785920 is 2958721.

It is an unprimeable number.

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, 8247 + ... + 9673.

It is an arithmetic number, because the mean of its divisors is an integer number (486472).

Almost surely, 2^12785920 is an apocalyptic number.

12785920 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 12785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512992).

12785920 is an abundant number, since it is smaller than the sum of its proper divisors (22240064).

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

12785920 is an equidigital number, since it uses as much as digits as its factorization.

12785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 12785920 is about 3575.7404827532. The cubic root of 12785920 is about 233.8356164014.

The spelling of 12785920 in words is "twelve million, seven hundred eighty-five thousand, nine hundred twenty".