12713760 has 168 divisors, whose sum is σ = 45446940. Its totient is φ = 3359232.

The previous prime is 12713749. The next prime is 12713761. The reversal of 12713760 is 6731721.

12713760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 11664 = 3564^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12713761) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116586 + ... + 116694.

Almost surely, 2^12713760 is an apocalyptic number.

12713760 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 12713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22723470).

12713760 is an abundant number, since it is smaller than the sum of its proper divisors (32733180).

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

12713760 is an equidigital number, since it uses as much as digits as its factorization.

12713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 12713760 is about 3565.6359881513. The cubic root of 12713760 is about 233.3948862554.

The spelling of 12713760 in words is "twelve million, seven hundred thirteen thousand, seven hundred sixty".