12927760 has 40 divisors (see below), whose sum is σ = 30634200. Its totient is φ = 5071872.

The previous prime is 12927757. The next prime is 12927767. The reversal of 12927760 is 6772921.

It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 12362256 = 752^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12927767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2716 + ... + 5764.

It is an arithmetic number, because the mean of its divisors is an integer number (765855).

Almost surely, 2^12927760 is an apocalyptic number.

12927760 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 12927760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15317100).

12927760 is an abundant number, since it is smaller than the sum of its proper divisors (17706440).

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

12927760 is a wasteful number, since it uses less digits than its factorization.

12927760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 12927760 is about 3595.5194339622. The cubic root of 12927760 is about 234.6971199861.

It can be divided in two parts, 129 and 27760, that added together give a square (27889 = 167²).

The spelling of 12927760 in words is "twelve million, nine hundred twenty-seven thousand, seven hundred sixty".