12585760 has 48 divisors (see below), whose sum is σ = 32441472. Its totient is φ = 4576000.

The previous prime is 12585737. The next prime is 12585787. The reversal of 12585760 is 6758521.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1816 + ... + 5335.

It is an arithmetic number, because the mean of its divisors is an integer number (675864).

Almost surely, 2^12585760 is an apocalyptic number.

12585760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12585760 is an abundant number, since it is smaller than the sum of its proper divisors (19855712).

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

12585760 is a wasteful number, since it uses less digits than its factorization.

12585760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 12585760 is about 3547.6414700474. The cubic root of 12585760 is about 232.6089827068.

The spelling of 12585760 in words is "twelve million, five hundred eighty-five thousand, seven hundred sixty".