268759680 has 128 divisors (see below), whose sum is σ = 979102080. Its totient is φ = 61427712.

The previous prime is 268759679. The next prime is 268759709. The reversal of 268759680 is 86957862.

It is a tau number, because it is divible by the number of its divisors (128).

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, 3442 + ... + 23438.

It is an arithmetic number, because the mean of its divisors is an integer number (7649235).

Almost surely, 2^268759680 is an apocalyptic number.

268759680 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 268759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489551040).

268759680 is an abundant number, since it is smaller than the sum of its proper divisors (710342400).

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

268759680 is a wasteful number, since it uses less digits than its factorization.

268759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20026 (or 20014 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 268759680 is about 16393.8915453287. The cubic root of 268759680 is about 645.3391882233.

The spelling of 268759680 in words is "two hundred sixty-eight million, seven hundred fifty-nine thousand, six hundred eighty".