268886688 has 96 divisors (see below), whose sum is σ = 854146944. Its totient is φ = 72302592.

The previous prime is 268886669. The next prime is 268886693. The reversal of 268886688 is 886688862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 345 + ... + 23192.

It is an arithmetic number, because the mean of its divisors is an integer number (8897364).

Almost surely, 2^268886688 is an apocalyptic number.

268886688 is a gapful number since it is divisible by the number (28) 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 268886688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427073472).

268886688 is an abundant number, since it is smaller than the sum of its proper divisors (585260256).

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

268886688 is a wasteful number, since it uses less digits than its factorization.

268886688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23574 (or 23566 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 60.

The square root of 268886688 is about 16397.7647257180. The cubic root of 268886688 is about 645.4408283849.

The spelling of 268886688 in words is "two hundred sixty-eight million, eight hundred eighty-six thousand, six hundred eighty-eight".