260878968 has 192 divisors, whose sum is σ = 882336000. Its totient is φ = 70543872.

The previous prime is 260878931. The next prime is 260879009. The reversal of 260878968 is 869878062.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 258048 + ... + 259056.

It is an arithmetic number, because the mean of its divisors is an integer number (4595500).

Almost surely, 2^260878968 is an apocalyptic number.

260878968 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 260878968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441168000).

260878968 is an abundant number, since it is smaller than the sum of its proper divisors (621457032).

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

260878968 is a wasteful number, since it uses less digits than its factorization.

260878968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 260878968 is about 16151.7481406812. The cubic root of 260878968 is about 638.9688538677.

The spelling of 260878968 in words is "two hundred sixty million, eight hundred seventy-eight thousand, nine hundred sixty-eight".