586740 has 96 divisors (see below), whose sum is σ = 2064384. Its totient is φ = 120960.

The previous prime is 586723. The next prime is 586741. The reversal of 586740 is 47685.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 586698 and 586707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (586741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4557 + ... + 4683.

It is an arithmetic number, because the mean of its divisors is an integer number (21504).

2⁵⁸⁶⁷⁴⁰ 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 586740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032192).

586740 is an abundant number, since it is smaller than the sum of its proper divisors (1477644).

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

586740 is a wasteful number, since it uses less digits than its factorization.

586740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 586740 is about 765.9895560646. The cubic root of 586740 is about 83.7173036399.

It can be divided in two parts, 586 and 740, that added together give a triangular number (1326 = T₅₁).

The spelling of 586740 in words is "five hundred eighty-six thousand, seven hundred forty".