586968 has 32 divisors (see below), whose sum is σ = 1509360. Its totient is φ = 190080.

The previous prime is 586961. The next prime is 586973. The reversal of 586968 is 869685.

586968 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 inconsummate number, since it does not exist a number n which divided by its sum of digits gives 586968.

It is not an unprimeable number, because it can be changed into a prime (586961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558 + ... + 1218.

2⁵⁸⁶⁹⁶⁸ 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 586968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754680).

586968 is an abundant number, since it is smaller than the sum of its proper divisors (922392).

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

586968 is a wasteful number, since it uses less digits than its factorization.

586968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 703 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 586968 is about 766.1383687037. The cubic root of 586968 is about 83.7281460763.

The spelling of 586968 in words is "five hundred eighty-six thousand, nine hundred sixty-eight".