580749120 has 168 divisors, whose sum is σ = 2282976384. Its totient is φ = 132738048.

The previous prime is 580749101. The next prime is 580749131. The reversal of 580749120 is 21947085.

580749120 is a `hidden beast` number, since 580 + 74 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5757 + ... + 34563.

Almost surely, 2^580749120 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 580749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141488192).

580749120 is an abundant number, since it is smaller than the sum of its proper divisors (1702227264).

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

580749120 is a wasteful number, since it uses less digits than its factorization.

580749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28837 (or 28824 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 580749120 is about 24098.7368963604. The cubic root of 580749120 is about 834.3139787045.

It can be divided in two parts, 580 and 749120, that added together give a triangular number (749700 = T₁₂₂₄).

The spelling of 580749120 in words is "five hundred eighty million, seven hundred forty-nine thousand, one hundred twenty".