1587680 has 24 divisors (see below), whose sum is σ = 3751272. Its totient is φ = 635008.

The previous prime is 1587679. The next prime is 1587683. The reversal of 1587680 is 867851.

It is a happy number.

1587680 is nontrivially palindromic in base 3.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1587680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4802 + ... + 5121.

It is an arithmetic number, because the mean of its divisors is an integer number (156303).

2^1587680 is an apocalyptic number.

1587680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1587680 is an abundant number, since it is smaller than the sum of its proper divisors (2163592).

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

1587680 is an equidigital number, since it uses as much as digits as its factorization.

1587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 1587680 is about 1260.0317456318. The cubic root of 1587680 is about 116.6597365498.

The spelling of 1587680 in words is "one million, five hundred eighty-seven thousand, six hundred eighty".