268204144 has 40 divisors (see below), whose sum is σ = 564620112. Its totient is φ = 122680320.

The previous prime is 268204099. The next prime is 268204159. The reversal of 268204144 is 441402862.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17799 + ... + 29209.

Almost surely, 2^268204144 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 268204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282310056).

268204144 is an abundant number, since it is smaller than the sum of its proper divisors (296415968).

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

268204144 is a wasteful number, since it uses less digits than its factorization.

268204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545 (or 11539 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 268204144 is about 16376.9393966028. The cubic root of 268204144 is about 644.8942350066.

The spelling of 268204144 in words is "two hundred sixty-eight million, two hundred four thousand, one hundred forty-four".