268809216 has 176 divisors, whose sum is σ = 792336384. Its totient is φ = 80510976.

The previous prime is 268809197. The next prime is 268809217. The reversal of 268809216 is 612908862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268809217) 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 15 ways as a sum of consecutive naturals, for example, 2116545 + ... + 2116671.

Almost surely, 2^268809216 is an apocalyptic number.

268809216 is a gapful number since it is divisible by the number (26) 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 268809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396168192).

268809216 is an abundant number, since it is smaller than the sum of its proper divisors (523527168).

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

268809216 is a wasteful number, since it uses less digits than its factorization.

268809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 268809216 is about 16395.4022823473. The cubic root of 268809216 is about 645.3788339993.

The spelling of 268809216 in words is "two hundred sixty-eight million, eight hundred nine thousand, two hundred sixteen".