12586860 has 192 divisors, whose sum is σ = 46287360. Its totient is φ = 2799360.

The previous prime is 12586859. The next prime is 12586891. The reversal of 12586860 is 6868521.

It is a happy number.

12586860 is a `hidden beast` number, since 12 + 586 + 8 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77139 + ... + 77301.

It is an arithmetic number, because the mean of its divisors is an integer number (241080).

Almost surely, 2^12586860 is an apocalyptic number.

12586860 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 12586860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143680).

12586860 is an abundant number, since it is smaller than the sum of its proper divisors (33700500).

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

12586860 is a wasteful number, since it uses less digits than its factorization.

12586860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 12586860 is about 3547.7964992372. The cubic root of 12586860 is about 232.6157592126.

It can be divided in two parts, 1258 and 6860, that added together give a palindrome (8118).

The spelling of 12586860 in words is "twelve million, five hundred eighty-six thousand, eight hundred sixty".