260759268 has 144 divisors (see below), whose sum is σ = 865213440. Its totient is φ = 64152000.

The previous prime is 260759263. The next prime is 260759269. The reversal of 260759268 is 862957062.

260759268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (260759263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50193 + ... + 55143.

Almost surely, 2^260759268 is an apocalyptic number.

260759268 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 260759268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432606720).

260759268 is an abundant number, since it is smaller than the sum of its proper divisors (604454172).

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

260759268 is a wasteful number, since it uses less digits than its factorization.

260759268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 260759268 is about 16148.0422342772. The cubic root of 260759268 is about 638.8711121534.

It can be divided in two parts, 260 and 759268, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 260759268 in words is "two hundred sixty million, seven hundred fifty-nine thousand, two hundred sixty-eight".