12582528 has 128 divisors (see below), whose sum is σ = 39690240. Its totient is φ = 3456000.

The previous prime is 12582509. The next prime is 12582539. The reversal of 12582528 is 82528521.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83253 + ... + 83403.

It is an arithmetic number, because the mean of its divisors is an integer number (310080).

Almost surely, 2^12582528 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 12582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19845120).

12582528 is an abundant number, since it is smaller than the sum of its proper divisors (27107712).

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

12582528 is a wasteful number, since it uses less digits than its factorization.

12582528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 12582528 is about 3547.1859269004. The cubic root of 12582528 is about 232.5890698160.

The spelling of 12582528 in words is "twelve million, five hundred eighty-two thousand, five hundred twenty-eight".