260131560 has 192 divisors, whose sum is σ = 860129280. Its totient is φ = 62899200.

The previous prime is 260131559. The next prime is 260131567. The reversal of 260131560 is 65131062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 260131560.

It is not an unprimeable number, because it can be changed into a prime (260131567) 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 47 ways as a sum of consecutive naturals, for example, 2048217 + ... + 2048343.

It is an arithmetic number, because the mean of its divisors is an integer number (4479840).

Almost surely, 2^260131560 is an apocalyptic number.

260131560 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 260131560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430064640).

260131560 is an abundant number, since it is smaller than the sum of its proper divisors (599997720).

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

260131560 is a wasteful number, since it uses less digits than its factorization.

260131560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 260131560 is about 16128.5944830912. The cubic root of 260131560 is about 638.3580633064.

The spelling of 260131560 in words is "two hundred sixty million, one hundred thirty-one thousand, five hundred sixty".