12586320 has 80 divisors (see below), whose sum is σ = 43360320. Its totient is φ = 3355776.

The previous prime is 12586309. The next prime is 12586331. The reversal of 12586320 is 2368521.

12586320 is a `hidden beast` number, since 1 + 25 + 8 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12586309) and next prime (12586331).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12586320² = 316830902284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 754 + ... + 5073.

It is an arithmetic number, because the mean of its divisors is an integer number (542004).

Almost surely, 2^12586320 is an apocalyptic number.

12586320 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 12586320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21680160).

12586320 is an abundant number, since it is smaller than the sum of its proper divisors (30774000).

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

12586320 is a wasteful number, since it uses less digits than its factorization.

12586320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12586320 is about 3547.7203948451. The cubic root of 12586320 is about 232.6124326137.

The spelling of 12586320 in words is "twelve million, five hundred eighty-six thousand, three hundred twenty".