260710560 has 288 divisors, whose sum is σ = 985944960. Its totient is φ = 62208000.

The previous prime is 260710559. The next prime is 260710573. The reversal of 260710560 is 65017062.

260710560 is a `hidden beast` number, since 2 + 607 + 1 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1726485 + ... + 1726635.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^260710560 is an apocalyptic number.

260710560 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 260710560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

260710560 is an abundant number, since it is smaller than the sum of its proper divisors (725234400).

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

260710560 is a wasteful number, since it uses less digits than its factorization.

260710560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 260710560 is about 16146.5339933993. The cubic root of 260710560 is about 638.8313307973.

The spelling of 260710560 in words is "two hundred sixty million, seven hundred ten thousand, five hundred sixty".