260617560 has 128 divisors (see below), whose sum is σ = 896832000. Its totient is φ = 59351040.

The previous prime is 260617541. The next prime is 260617561. The reversal of 260617560 is 65716062.

260617560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260617561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376815 + ... + 377505.

It is an arithmetic number, because the mean of its divisors is an integer number (7006500).

Almost surely, 2^260617560 is an apocalyptic number.

260617560 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 260617560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448416000).

260617560 is an abundant number, since it is smaller than the sum of its proper divisors (636214440).

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

260617560 is a wasteful number, since it uses less digits than its factorization.

260617560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 260617560 is about 16143.6538615024. The cubic root of 260617560 is about 638.7553610073.

The spelling of 260617560 in words is "two hundred sixty million, six hundred seventeen thousand, five hundred sixty".