12839760 has 120 divisors (see below), whose sum is σ = 45700200. Its totient is φ = 3219456.

The previous prime is 12839753. The next prime is 12839767. The reversal of 12839760 is 6793821.

12839760 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 (12839753) and next prime (12839767).

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 7420176 = 2328^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12839767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11716 + ... + 12764.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^12839760 is an apocalyptic number.

12839760 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 12839760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850100).

12839760 is an abundant number, since it is smaller than the sum of its proper divisors (32860440).

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

12839760 is a wasteful number, since it uses less digits than its factorization.

12839760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12839760 is about 3583.2610845430. The cubic root of 12839760 is about 234.1633748406.

The spelling of 12839760 in words is "twelve million, eight hundred thirty-nine thousand, seven hundred sixty".