260578560 has 288 divisors, whose sum is σ = 941875200. Its totient is φ = 60825600.

The previous prime is 260578541. The next prime is 260578589. The reversal of 260578560 is 65875062.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309341 + ... + 1309539.

It is an arithmetic number, because the mean of its divisors is an integer number (3270400).

Almost surely, 2^260578560 is an apocalyptic number.

260578560 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 260578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470937600).

260578560 is an abundant number, since it is smaller than the sum of its proper divisors (681296640).

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

260578560 is a wasteful number, since it uses less digits than its factorization.

260578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 260578560 is about 16142.4459113234. The cubic root of 260578560 is about 638.7234973296.

The spelling of 260578560 in words is "two hundred sixty million, five hundred seventy-eight thousand, five hundred sixty".