268829808 has 120 divisors (see below), whose sum is σ = 768982032. Its totient is φ = 80446464.

The previous prime is 268829807. The next prime is 268829831. The reversal of 268829808 is 808928862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268829807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153660 + ... + 1153892.

Almost surely, 2^268829808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268829808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384491016).

268829808 is an abundant number, since it is smaller than the sum of its proper divisors (500152224).

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

268829808 is a wasteful number, since it uses less digits than its factorization.

268829808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 268829808 is about 16396.0302512529. The cubic root of 268829808 is about 645.3953132230.

The spelling of 268829808 in words is "two hundred sixty-eight million, eight hundred twenty-nine thousand, eight hundred eight".