12528630 has 48 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 3307200.

The previous prime is 12528623. The next prime is 12528631. The reversal of 12528630 is 3682521.

12528630 is a `hidden beast` number, since 1 + 2 + 5 + 28 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12528594 and 12528603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12528631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8980 + ... + 10280.

It is an arithmetic number, because the mean of its divisors is an integer number (685503).

Almost surely, 2^12528630 is an apocalyptic number.

12528630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12528630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

12528630 is an abundant number, since it is smaller than the sum of its proper divisors (20375514).

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

12528630 is a wasteful number, since it uses less digits than its factorization.

12528630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12528630 is about 3539.5804836167. The cubic root of 12528630 is about 232.2564914955.

It can be divided in two parts, 125286 and 30, that added together give a square (125316 = 354²).

The spelling of 12528630 in words is "twelve million, five hundred twenty-eight thousand, six hundred thirty".