12585768 has 96 divisors (see below), whose sum is σ = 35575200. Its totient is φ = 3704064.

The previous prime is 12585737. The next prime is 12585787. The reversal of 12585768 is 86758521.

It is a super-2 number, since 2×12585768² = 316803112299648, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 117571 + ... + 117677.

It is an arithmetic number, because the mean of its divisors is an integer number (370575).

Almost surely, 2^12585768 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 12585768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17787600).

12585768 is an abundant number, since it is smaller than the sum of its proper divisors (22989432).

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

12585768 is a wasteful number, since it uses less digits than its factorization.

12585768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 12585768 is about 3547.6425975569. The cubic root of 12585768 is about 232.6090319919.

The spelling of 12585768 in words is "twelve million, five hundred eighty-five thousand, seven hundred sixty-eight".