587840 has 56 divisors (see below), whose sum is σ = 1536192. Its totient is φ = 212480.

The previous prime is 587833. The next prime is 587849. The reversal of 587840 is 48785.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 587797 and 587806.

It is not an unprimeable number, because it can be changed into a prime (587849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3437 + ... + 3603.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2⁵⁸⁷⁸⁴⁰ 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 587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096).

587840 is an abundant number, since it is smaller than the sum of its proper divisors (948352).

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

587840 is a wasteful number, since it uses less digits than its factorization.

587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 587840 is about 766.7072453029. The cubic root of 587840 is about 83.7695877552.

The spelling of 587840 in words is "five hundred eighty-seven thousand, eight hundred forty".