260576560 has 80 divisors (see below), whose sum is σ = 624602880. Its totient is φ = 101041920.

The previous prime is 260576543. The next prime is 260576597. The reversal of 260576560 is 65675062.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 725661 + ... + 726019.

It is an arithmetic number, because the mean of its divisors is an integer number (7807536).

Almost surely, 2^260576560 is an apocalyptic number.

260576560 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 260576560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312301440).

260576560 is an abundant number, since it is smaller than the sum of its proper divisors (364026320).

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

260576560 is a wasteful number, since it uses less digits than its factorization.

260576560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 260576560 is about 16142.3839627237. The cubic root of 260576560 is about 638.7218632091.

The spelling of 260576560 in words is "two hundred sixty million, five hundred seventy-six thousand, five hundred sixty".