268883680 has 96 divisors (see below), whose sum is σ = 688129344. Its totient is φ = 98697216.

The previous prime is 268883653. The next prime is 268883717. The reversal of 268883680 is 86388862.

268883680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534309 + ... + 534811.

It is an arithmetic number, because the mean of its divisors is an integer number (7168014).

Almost surely, 2^268883680 is an apocalyptic number.

268883680 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 268883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344064672).

268883680 is an abundant number, since it is smaller than the sum of its proper divisors (419245664).

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

268883680 is a wasteful number, since it uses less digits than its factorization.

268883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 268883680 is about 16397.6730056432. The cubic root of 268883680 is about 645.4384215553.

It can be divided in two parts, 2688 and 83680, that added together give a palindrome (86368).

The spelling of 268883680 in words is "two hundred sixty-eight million, eight hundred eighty-three thousand, six hundred eighty".