268589760 has 112 divisors (see below), whose sum is σ = 859877376. Its totient is φ = 71027712.

The previous prime is 268589759. The next prime is 268589767. The reversal of 268589760 is 67985862.

It is not an unprimeable number, because it can be changed into a prime (268589767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120819 + ... + 123021.

Almost surely, 2^268589760 is an apocalyptic number.

268589760 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 268589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429938688).

268589760 is an abundant number, since it is smaller than the sum of its proper divisors (591287616).

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

268589760 is a wasteful number, since it uses less digits than its factorization.

268589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2340 counting only the distinct ones).

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

The square root of 268589760 is about 16388.7083078564. The cubic root of 268589760 is about 645.2031569648.

The spelling of 268589760 in words is "two hundred sixty-eight million, five hundred eighty-nine thousand, seven hundred sixty".