260558080 has 72 divisors (see below), whose sum is σ = 627377184. Its totient is φ = 103680000.

The previous prime is 260558071. The next prime is 260558087. The reversal of 260558080 is 80855062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260558087) 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 7 ways as a sum of consecutive naturals, for example, 320875 + ... + 321685.

It is an arithmetic number, because the mean of its divisors is an integer number (8713572).

Almost surely, 2^260558080 is an apocalyptic number.

260558080 is a gapful number since it is divisible by the number (20) 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 260558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313688592).

260558080 is an abundant number, since it is smaller than the sum of its proper divisors (366819104).

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

260558080 is an equidigital number, since it uses as much as digits as its factorization.

260558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 260558080 is about 16141.8115464157. The cubic root of 260558080 is about 638.7067635406.

The spelling of 260558080 in words is "two hundred sixty million, five hundred fifty-eight thousand, eighty".