12516864 has 80 divisors (see below), whose sum is σ = 34618320. Its totient is φ = 4014080.

The previous prime is 12516863. The next prime is 12516883. The reversal of 12516864 is 46861521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12516863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44404 + ... + 44684.

It is an arithmetic number, because the mean of its divisors is an integer number (432729).

Almost surely, 2^12516864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309160).

12516864 is an abundant number, since it is smaller than the sum of its proper divisors (22101456).

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

12516864 is an equidigital number, since it uses as much as digits as its factorization.

12516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 12516864 is about 3537.9180318374. The cubic root of 12516864 is about 232.1837624531.

The spelling of 12516864 in words is "twelve million, five hundred sixteen thousand, eight hundred sixty-four".