587160 has 96 divisors (see below), whose sum is σ = 2190240. Its totient is φ = 133632.

The previous prime is 587149. The next prime is 587173. The reversal of 587160 is 61785.

587160 = 43² + 44² + ... + 122².

587160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

587160 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, 2404 + ... + 2636.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2⁵⁸⁷¹⁶⁰ 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 587160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095120).

587160 is an abundant number, since it is smaller than the sum of its proper divisors (1603080).

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

587160 is a wasteful number, since it uses less digits than its factorization.

587160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 587160 is about 766.2636621947. The cubic root of 587160 is about 83.7372743715.

It can be divided in two parts, 587 and 160, that added together give a palindrome (747).

The spelling of 587160 in words is "five hundred eighty-seven thousand, one hundred sixty".