12586496 has 80 divisors (see below), whose sum is σ = 28414848. Its totient is φ = 5529600.

The previous prime is 12586489. The next prime is 12586499. The reversal of 12586496 is 69468521.

It is a happy number.

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 (12586499) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 206306 + ... + 206366.

Almost surely, 2^12586496 is an apocalyptic number.

12586496 is a gapful number since it is divisible by the number (16) 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 12586496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207424).

12586496 is an abundant number, since it is smaller than the sum of its proper divisors (15828352).

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

12586496 is an equidigital number, since it uses as much as digits as its factorization.

12586496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 12586496 is about 3547.7451994189. The cubic root of 12586496 is about 232.6135168490.

The spelling of 12586496 in words is "twelve million, five hundred eighty-six thousand, four hundred ninety-six".