12587160 has 64 divisors (see below), whose sum is σ = 39074400. Its totient is φ = 3239936.

The previous prime is 12587153. The next prime is 12587203. The reversal of 12587160 is 6178521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 5288.

Almost surely, 2^12587160 is an apocalyptic number.

12587160 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 12587160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19537200).

12587160 is an abundant number, since it is smaller than the sum of its proper divisors (26487240).

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

12587160 is a wasteful number, since it uses less digits than its factorization.

12587160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 12587160 is about 3547.8387787497. The cubic root of 12587160 is about 232.6176072821.

The spelling of 12587160 in words is "twelve million, five hundred eighty-seven thousand, one hundred sixty".