268172816 has 60 divisors (see below), whose sum is σ = 545228496. Its totient is φ = 127759680.

The previous prime is 268172813. The next prime is 268172837. The reversal of 268172816 is 618271862.

It is not an unprimeable number, because it can be changed into a prime (268172813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1645151 + ... + 1645313.

Almost surely, 2^268172816 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 268172816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272614248).

268172816 is an abundant number, since it is smaller than the sum of its proper divisors (277055680).

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

268172816 is a wasteful number, since it uses less digits than its factorization.

268172816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 303 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 268172816 is about 16375.9829017986. The cubic root of 268172816 is about 644.8691247392.

The spelling of 268172816 in words is "two hundred sixty-eight million, one hundred seventy-two thousand, eight hundred sixteen".