12708864 has 132 divisors (see below), whose sum is σ = 42151824. Its totient is φ = 3612672.

The previous prime is 12708823. The next prime is 12708869. The reversal of 12708864 is 46880721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12708869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64414 + ... + 64610.

It is an arithmetic number, because the mean of its divisors is an integer number (319332).

Almost surely, 2^12708864 is an apocalyptic number.

12708864 is a gapful number since it is divisible by the number (14) 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 12708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21075912).

12708864 is an abundant number, since it is smaller than the sum of its proper divisors (29442960).

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

12708864 is a wasteful number, since it uses less digits than its factorization.

12708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12708864 is about 3564.9493685044. The cubic root of 12708864 is about 233.3649227073.

The spelling of 12708864 in words is "twelve million, seven hundred eight thousand, eight hundred sixty-four".