12585096 has 48 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 4104672.

The previous prime is 12585091. The next prime is 12585121. The reversal of 12585096 is 69058521.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12585096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12585091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1525 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^12585096 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 12585096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

12585096 is an abundant number, since it is smaller than the sum of its proper divisors (22234104).

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

12585096 is a wasteful number, since it uses less digits than its factorization.

12585096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 12585096 is about 3547.5478855119. The cubic root of 12585096 is about 232.6048919704.

The spelling of 12585096 in words is "twelve million, five hundred eighty-five thousand, ninety-six".