260967168 has 216 divisors, whose sum is σ = 938735616. Its totient is φ = 67737600.

The previous prime is 260967163. The next prime is 260967169. The reversal of 260967168 is 861769062.

It is not an unprimeable number, because it can be changed into a prime (260967163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176673 + ... + 178143.

Almost surely, 2^260967168 is an apocalyptic number.

260967168 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 260967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469367808).

260967168 is an abundant number, since it is smaller than the sum of its proper divisors (677768448).

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

260967168 is a wasteful number, since it uses less digits than its factorization.

260967168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 260967168 is about 16154.4782645556. The cubic root of 260967168 is about 639.0408549484.

The spelling of 260967168 in words is "two hundred sixty million, nine hundred sixty-seven thousand, one hundred sixty-eight".