12587280 has 80 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 3326464.

The previous prime is 12587273. The next prime is 12587297. The reversal of 12587280 is 8278521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×12587280³ (a number of 22 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 42814 + ... + 43106.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^12587280 is an apocalyptic number.

12587280 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 12587280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

12587280 is an abundant number, since it is smaller than the sum of its proper divisors (26785200).

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

12587280 is a wasteful number, since it uses less digits than its factorization.

12587280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 12587280 is about 3547.8556904136. The cubic root of 12587280 is about 232.6183465016.

The spelling of 12587280 in words is "twelve million, five hundred eighty-seven thousand, two hundred eighty".