587040 has 48 divisors (see below), whose sum is σ = 1850688. Its totient is φ = 156416.

The previous prime is 587033. The next prime is 587051. The reversal of 587040 is 40785.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 587040.

It is an unprimeable number.

587040 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 7 ways as a sum of consecutive naturals, for example, 132 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

2⁵⁸⁷⁰⁴⁰ 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 587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344).

587040 is an abundant number, since it is smaller than the sum of its proper divisors (1263648).

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

587040 is a wasteful number, since it uses less digits than its factorization.

587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 587040 is about 766.1853561639. The cubic root of 587040 is about 83.7315694202.

The spelling of 587040 in words is "five hundred eighty-seven thousand, forty".