260508080 has 80 divisors (see below), whose sum is σ = 694241280. Its totient is φ = 89054976.

The previous prime is 260508047. The next prime is 260508089. The reversal of 260508080 is 80805062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (260508089) 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 15 ways as a sum of consecutive naturals, for example, 361961 + ... + 362679.

It is an arithmetic number, because the mean of its divisors is an integer number (8678016).

Almost surely, 2^260508080 is an apocalyptic number.

260508080 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 260508080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347120640).

260508080 is an abundant number, since it is smaller than the sum of its proper divisors (433733200).

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

260508080 is a wasteful number, since it uses less digits than its factorization.

260508080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 260508080 is about 16140.2626992252. The cubic root of 260508080 is about 638.6659058795.

The spelling of 260508080 in words is "two hundred sixty million, five hundred eight thousand, eighty".