12585840 has 60 divisors (see below), whose sum is σ = 39187224. Its totient is φ = 3341568.

The previous prime is 12585829. The next prime is 12585863. The reversal of 12585840 is 4858521.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54846 + ... + 55074.

Almost surely, 2^12585840 is an apocalyptic number.

12585840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19593612).

12585840 is an abundant number, since it is smaller than the sum of its proper divisors (26601384).

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

12585840 is an equidigital number, since it uses as much as digits as its factorization.

12585840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 12585840 is about 3547.6527451260. The cubic root of 12585840 is about 232.6094755569.

The spelling of 12585840 in words is "twelve million, five hundred eighty-five thousand, eight hundred forty".