587520 has 144 divisors (see below), whose sum is σ = 2207520. Its totient is φ = 147456.

The previous prime is 587519. The next prime is 587527. The reversal of 587520 is 25785.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (587527) 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, 34552 + ... + 34568.

It is an arithmetic number, because the mean of its divisors is an integer number (15330).

2⁵⁸⁷⁵²⁰ 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 587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103760).

587520 is an abundant number, since it is smaller than the sum of its proper divisors (1620000).

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

587520 is a wasteful number, since it uses less digits than its factorization.

587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 587520 is about 766.4985322882. The cubic root of 587520 is about 83.7543845629.

The spelling of 587520 in words is "five hundred eighty-seven thousand, five hundred twenty".