586960 has 80 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 197120.

The previous prime is 586951. The next prime is 586961. The reversal of 586960 is 69685.

586960 = T₉₉ + T₁₀₀ + ... + T₁₆₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20226 + ... + 20254.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2⁵⁸⁶⁹⁶⁰ 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 586960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

586960 is an abundant number, since it is smaller than the sum of its proper divisors (1020080).

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

586960 is a wasteful number, since it uses less digits than its factorization.

586960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 586960 is about 766.1331476969. The cubic root of 586960 is about 83.7277656875.

It can be divided in two parts, 5869 and 60, that added together give a square (5929 = 77²).

The spelling of 586960 in words is "five hundred eighty-six thousand, nine hundred sixty".