580610160 has 640 divisors, whose sum is σ = 2399846400. Its totient is φ = 127733760.

The previous prime is 580610117. The next prime is 580610167. The reversal of 580610160 is 61016085.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580610167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18729345 + ... + 18729375.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^580610160 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 580610160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199923200).

580610160 is an abundant number, since it is smaller than the sum of its proper divisors (1819236240).

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

580610160 is a wasteful number, since it uses less digits than its factorization.

580610160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 580610160 is about 24095.8535852125. The cubic root of 580610160 is about 834.2474293032.

The spelling of 580610160 in words is "five hundred eighty million, six hundred ten thousand, one hundred sixty".