12690585 has 48 divisors (see below), whose sum is σ = 23806224. Its totient is φ = 6230016.

The previous prime is 12690581. The next prime is 12690589. The reversal of 12690585 is 58509621.

It is a happy number.

12690585 is a `hidden beast` number, since 12 + 69 + 0 + 585 = 666.

It is an interprime number because it is at equal distance from previous prime (12690581) and next prime (12690589).

It can be written as a sum of positive squares in 8 ways, for example, as 328329 + 12362256 = 573^2 + 3516^2 .

It is not a de Polignac number, because 12690585 - 2² = 12690581 is a prime.

It is a super-2 number, since 2×12690585² = 322101895284450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12690581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40389 + ... + 40701.

It is an arithmetic number, because the mean of its divisors is an integer number (495963).

Almost surely, 2^12690585 is an apocalyptic number.

12690585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12690585 is a deficient number, since it is larger than the sum of its proper divisors (11115639).

12690585 is a wasteful number, since it uses less digits than its factorization.

12690585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

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

The square root of 12690585 is about 3562.3847349774. The cubic root of 12690585 is about 233.2529870759.

The spelling of 12690585 in words is "twelve million, six hundred ninety thousand, five hundred eighty-five".