12642528 has 48 divisors (see below), whose sum is σ = 33626880. Its totient is φ = 4158336.

The previous prime is 12642517. The next prime is 12642533. The reversal of 12642528 is 82524621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12642495 and 12642504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6751 + ... + 8417.

It is an arithmetic number, because the mean of its divisors is an integer number (700560).

Almost surely, 2^12642528 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 12642528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813440).

12642528 is an abundant number, since it is smaller than the sum of its proper divisors (20984352).

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

12642528 is a wasteful number, since it uses less digits than its factorization.

12642528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1751 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 12642528 is about 3555.6332769283. The cubic root of 12642528 is about 232.9581853776.

The spelling of 12642528 in words is "twelve million, six hundred forty-two thousand, five hundred twenty-eight".