12587880 has 64 divisors (see below), whose sum is σ = 39758400. Its totient is φ = 3179520.

The previous prime is 12587879. The next prime is 12587903. The reversal of 12587880 is 8878521.

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, 481 + ... + 5040.

It is an arithmetic number, because the mean of its divisors is an integer number (621225).

Almost surely, 2^12587880 is an apocalyptic number.

12587880 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 12587880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19879200).

12587880 is an abundant number, since it is smaller than the sum of its proper divisors (27170520).

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

12587880 is a wasteful number, since it uses less digits than its factorization.

12587880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 12587880 is about 3547.9402475239. The cubic root of 12587880 is about 232.6220425289.

The spelling of 12587880 in words is "twelve million, five hundred eighty-seven thousand, eight hundred eighty".