860580 has 72 divisors (see below), whose sum is σ = 2987712. Its totient is φ = 196416.

The previous prime is 860579. The next prime is 860581. The reversal of 860580 is 85068.

860580 is a `hidden beast` number, since 86 + 0 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (860579) and next prime (860581).

It is not an unprimeable number, because it can be changed into a prime (860581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁸⁶⁰⁵⁸⁰ 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 860580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856).

860580 is an abundant number, since it is smaller than the sum of its proper divisors (2127132).

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

860580 is a wasteful number, since it uses less digits than its factorization.

860580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 860580 is about 927.6745118844. The cubic root of 860580 is about 95.1182276889.

The spelling of 860580 in words is "eight hundred sixty thousand, five hundred eighty".