12586000 has 160 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 4032000.

The previous prime is 12585997. The next prime is 12586019. The reversal of 12586000 is 68521.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405985 + ... + 406015.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^12586000 is an apocalyptic number.

12586000 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 12586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

12586000 is an abundant number, since it is smaller than the sum of its proper divisors (24554480).

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

12586000 is a wasteful number, since it uses less digits than its factorization.

12586000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12586000 is about 3547.6752951757. The cubic root of 12586000 is about 232.6104612509.

The spelling of 12586000 in words is "twelve million, five hundred eighty-six thousand".