12887580 has 48 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 3421248.

The previous prime is 12887551. The next prime is 12887587. The reversal of 12887580 is 8578821.

12887580 = 548² + 549² + ... + 587².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12887587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20511 + ... + 21129.

It is an arithmetic number, because the mean of its divisors is an integer number (755160).

Almost surely, 2^12887580 is an apocalyptic number.

12887580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12887580 is an abundant number, since it is smaller than the sum of its proper divisors (23360100).

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

12887580 is a wasteful number, since it uses less digits than its factorization.

12887580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 976 counting only the distinct ones).

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

The square root of 12887580 is about 3589.9275758711. The cubic root of 12887580 is about 234.4537182695.

The spelling of 12887580 in words is "twelve million, eight hundred eighty-seven thousand, five hundred eighty".