12587680 has 48 divisors (see below), whose sum is σ = 33989760. Its totient is φ = 4315392.

The previous prime is 12587677. The next prime is 12587683. The reversal of 12587680 is 8678521.

It is an interprime number because it is at equal distance from previous prime (12587677) and next prime (12587683).

It is not an unprimeable number, because it can be changed into a prime (12587683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4500 + ... + 6739.

It is an arithmetic number, because the mean of its divisors is an integer number (708120).

Almost surely, 2^12587680 is an apocalyptic number.

12587680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12587680 is an abundant number, since it is smaller than the sum of its proper divisors (21402080).

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

12587680 is a wasteful number, since it uses less digits than its factorization.

12587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11261 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 12587680 is about 3547.9120620444. The cubic root of 12587680 is about 232.6208105328.

The spelling of 12587680 in words is "twelve million, five hundred eighty-seven thousand, six hundred eighty".