268768140 has 96 divisors (see below), whose sum is σ = 781455360. Its totient is φ = 68947200.

The previous prime is 268768121. The next prime is 268768151. The reversal of 268768140 is 41867862.

268768140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 268768092 and 268768101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425625 + ... + 426255.

It is an arithmetic number, because the mean of its divisors is an integer number (8140160).

Almost surely, 2^268768140 is an apocalyptic number.

268768140 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 268768140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390727680).

268768140 is an abundant number, since it is smaller than the sum of its proper divisors (512687220).

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

268768140 is a wasteful number, since it uses less digits than its factorization.

268768140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 268768140 is about 16394.1495662325. The cubic root of 268768140 is about 645.3459594675.

It can be divided in two parts, 2687681 and 40, that added together give a triangular number (2687721 = T₂₃₁₈).

The spelling of 268768140 in words is "two hundred sixty-eight million, seven hundred sixty-eight thousand, one hundred forty".