12586520 has 32 divisors (see below), whose sum is σ = 29553120. Its totient is φ = 4815360.

The previous prime is 12586513. The next prime is 12586523. The reversal of 12586520 is 2568521.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12586523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5921 + ... + 7760.

It is an arithmetic number, because the mean of its divisors is an integer number (923535).

Almost surely, 2^12586520 is an apocalyptic number.

12586520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12586520 is an abundant number, since it is smaller than the sum of its proper divisors (16966600).

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

12586520 is a wasteful number, since it uses less digits than its factorization.

12586520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13715 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 12586520 is about 3547.7485818474. The cubic root of 12586520 is about 232.6136646984.

The spelling of 12586520 in words is "twelve million, five hundred eighty-six thousand, five hundred twenty".