12586880 has 64 divisors (see below), whose sum is σ = 30624480. Its totient is φ = 4945920.

The previous prime is 12586859. The next prime is 12586891. The reversal of 12586880 is 8868521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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, 45302 + ... + 45578.

Almost surely, 2^12586880 is an apocalyptic number.

12586880 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 12586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312240).

12586880 is an abundant number, since it is smaller than the sum of its proper divisors (18037600).

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

12586880 is an equidigital number, since it uses as much as digits as its factorization.

12586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 12586880 is about 3547.7993178871. The cubic root of 12586880 is about 232.6158824182.

The spelling of 12586880 in words is "twelve million, five hundred eighty-six thousand, eight hundred eighty".