12756920 has 64 divisors (see below), whose sum is σ = 31795200. Its totient is φ = 4567680.

The previous prime is 12756917. The next prime is 12756929. The reversal of 12756920 is 2965721.

12756920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12756929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34577 + ... + 34943.

It is an arithmetic number, because the mean of its divisors is an integer number (496800).

Almost surely, 2^12756920 is an apocalyptic number.

12756920 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 12756920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897600).

12756920 is an abundant number, since it is smaller than the sum of its proper divisors (19038280).

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

12756920 is a wasteful number, since it uses less digits than its factorization.

12756920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 12756920 is about 3571.6830766461. The cubic root of 12756920 is about 233.6586934990.

The spelling of 12756920 in words is "twelve million, seven hundred fifty-six thousand, nine hundred twenty".