587880 has 96 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 147840.

The previous prime is 587863. The next prime is 587887. The reversal of 587880 is 88785.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 587880.

It is not an unprimeable number, because it can be changed into a prime (587887) by changing a digit.

587880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8245 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2⁵⁸⁷⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 587880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010880).

587880 is an abundant number, since it is smaller than the sum of its proper divisors (1433880).

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

587880 is a wasteful number, since it uses less digits than its factorization.

587880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 587880 is about 766.7333304350. The cubic root of 587880 is about 83.7714877663.

The spelling of 587880 in words is "five hundred eighty-seven thousand, eight hundred eighty".