260631168 has 128 divisors (see below), whose sum is σ = 808427520. Its totient is φ = 72846336.

The previous prime is 260631109. The next prime is 260631169. The reversal of 260631168 is 861136062.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (260631169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125305 + ... + 127367.

It is an arithmetic number, because the mean of its divisors is an integer number (6315840).

Almost surely, 2^260631168 is an apocalyptic number.

260631168 is a gapful number since it is divisible by the number (28) 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 260631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404213760).

260631168 is an abundant number, since it is smaller than the sum of its proper divisors (547796352).

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

260631168 is a wasteful number, since it uses less digits than its factorization.

260631168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 260631168 is about 16144.0753219254. The cubic root of 260631168 is about 638.7664782317.

The spelling of 260631168 in words is "two hundred sixty million, six hundred thirty-one thousand, one hundred sixty-eight".