12702580 has 72 divisors (see below), whose sum is σ = 30499560. Its totient is φ = 4435200.

The previous prime is 12702577. The next prime is 12702589. The reversal of 12702580 is 8520721.

12702580 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 4 ways, for example, as 484 + 12702096 = 22^2 + 3564^2 .

It is a super-2 number, since 2×12702580² = 322711077312800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12702589) 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, 70090 + ... + 70270.

It is an arithmetic number, because the mean of its divisors is an integer number (423605).

Almost surely, 2^12702580 is an apocalyptic number.

12702580 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 12702580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249780).

12702580 is an abundant number, since it is smaller than the sum of its proper divisors (17796980).

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

12702580 is a wasteful number, since it uses less digits than its factorization.

12702580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 12702580 is about 3564.0679005878. The cubic root of 12702580 is about 233.3264533119.

The spelling of 12702580 in words is "twelve million, seven hundred two thousand, five hundred eighty".