580987120 has 160 divisors (see below), whose sum is σ = 1628467200. Its totient is φ = 192487680.

The previous prime is 580987109. The next prime is 580987129. The reversal of 580987120 is 21789085.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580987129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850299 + ... + 850981.

It is an arithmetic number, because the mean of its divisors is an integer number (10177920).

Almost surely, 2^580987120 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 580987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

580987120 is an abundant number, since it is smaller than the sum of its proper divisors (1047480080).

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

580987120 is a wasteful number, since it uses less digits than its factorization.

580987120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 580987120 is about 24103.6744086872. The cubic root of 580987120 is about 834.4279347433.

It can be divided in two parts, 5809 and 87120, that added together give a palindrome (92929).

The spelling of 580987120 in words is "five hundred eighty million, nine hundred eighty-seven thousand, one hundred twenty".