12584106 has 32 divisors (see below), whose sum is σ = 28082880. Its totient is φ = 4177008.

The previous prime is 12584071. The next prime is 12584119. The reversal of 12584106 is 60148521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12584106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21145 + ... + 21731.

It is an arithmetic number, because the mean of its divisors is an integer number (877590).

Almost surely, 2^12584106 is an apocalyptic number.

12584106 is an abundant number, since it is smaller than the sum of its proper divisors (15498774).

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

12584106 is a wasteful number, since it uses less digits than its factorization.

12584106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12584106 is about 3547.4083497675. The cubic root of 12584106 is about 232.5987925630.

The spelling of 12584106 in words is "twelve million, five hundred eighty-four thousand, one hundred six".