12585040 has 40 divisors (see below), whose sum is σ = 31513608. Its totient is φ = 4646400.

The previous prime is 12585037. The next prime is 12585059. The reversal of 12585040 is 4058521.

It can be written as a sum of positive squares in 4 ways, for example, as 2999824 + 9585216 = 1732^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12584996 and 12585014.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5011 + ... + 7090.

Almost surely, 2^12585040 is an apocalyptic number.

12585040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12585040 is an abundant number, since it is smaller than the sum of its proper divisors (18928568).

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

12585040 is a wasteful number, since it uses less digits than its factorization.

12585040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 12585040 is about 3547.5399927274. The cubic root of 12585040 is about 232.6045469619.

The spelling of 12585040 in words is "twelve million, five hundred eighty-five thousand, forty".