12528864 has 96 divisors (see below), whose sum is σ = 38737440. Its totient is φ = 3926016.

The previous prime is 12528863. The next prime is 12528869. The reversal of 12528864 is 46882521.

It is a tau number, because it is divible by the number of its divisors (96).

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 (12528863) 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 15 ways as a sum of consecutive naturals, for example, 14262 + ... + 15114.

It is an arithmetic number, because the mean of its divisors is an integer number (403515).

Almost surely, 2^12528864 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 12528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19368720).

12528864 is an abundant number, since it is smaller than the sum of its proper divisors (26208576).

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

12528864 is a wasteful number, since it uses less digits than its factorization.

12528864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12528864 is about 3539.6135382270. The cubic root of 12528864 is about 232.2579374551.

The spelling of 12528864 in words is "twelve million, five hundred twenty-eight thousand, eight hundred sixty-four".