268856760 has 64 divisors (see below), whose sum is σ = 814147200. Its totient is φ = 71021696.

The previous prime is 268856699. The next prime is 268856773. The reversal of 268856760 is 67658862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2371 + ... + 23309.

It is an arithmetic number, because the mean of its divisors is an integer number (12721050).

Almost surely, 2^268856760 is an apocalyptic number.

268856760 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 268856760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407073600).

268856760 is an abundant number, since it is smaller than the sum of its proper divisors (545290440).

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

268856760 is a wasteful number, since it uses less digits than its factorization.

268856760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21060 (or 21056 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 268856760 is about 16396.8521369195. The cubic root of 268856760 is about 645.4168809122.

The spelling of 268856760 in words is "two hundred sixty-eight million, eight hundred fifty-six thousand, seven hundred sixty".