580520880 has 180 divisors, whose sum is σ = 2016902160. Its totient is φ = 149633280.

The previous prime is 580520873. The next prime is 580520881. The reversal of 580520880 is 88025085.

580520880 is a `hidden beast` number, since 58 + 0 + 520 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (580520881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 691501 + ... + 692339.

It is an arithmetic number, because the mean of its divisors is an integer number (11205012).

Almost surely, 2^580520880 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 580520880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008451080).

580520880 is an abundant number, since it is smaller than the sum of its proper divisors (1436381280).

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

580520880 is a wasteful number, since it uses less digits than its factorization.

580520880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 580520880 is about 24094.0009130904. Note that the first 3 decimals coincide. The cubic root of 580520880 is about 834.2046665721.

The spelling of 580520880 in words is "five hundred eighty million, five hundred twenty thousand, eight hundred eighty".