130580320 has 96 divisors (see below), whose sum is σ = 337544928. Its totient is φ = 47443968.

The previous prime is 130580311. The next prime is 130580323. The reversal of 130580320 is 23085031.

It is a junction number, because it is equal to n+sod(n) for n = 130580291 and 130580300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130580323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138892 + ... + 139828.

It is an arithmetic number, because the mean of its divisors is an integer number (3516093).

Almost surely, 2^130580320 is an apocalyptic number.

130580320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168772464).

130580320 is an abundant number, since it is smaller than the sum of its proper divisors (206964608).

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

130580320 is a wasteful number, since it uses less digits than its factorization.

130580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 130580320 is about 11427.1746289273. The cubic root of 130580320 is about 507.3323736395.

The spelling of 130580320 in words is "one hundred thirty million, five hundred eighty thousand, three hundred twenty".