268730160 has 160 divisors (see below), whose sum is σ = 880657920. Its totient is φ = 67651584.

The previous prime is 268730131. The next prime is 268730201. The reversal of 268730160 is 61037862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491007 + ... + 491553.

It is an arithmetic number, because the mean of its divisors is an integer number (5504112).

Almost surely, 2^268730160 is an apocalyptic number.

268730160 is a gapful number since it is divisible by the number (20) 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 268730160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440328960).

268730160 is an abundant number, since it is smaller than the sum of its proper divisors (611927760).

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

268730160 is a wasteful number, since it uses less digits than its factorization.

268730160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 268730160 is about 16392.9911852596. The cubic root of 268730160 is about 645.3155597902.

The spelling of 268730160 in words is "two hundred sixty-eight million, seven hundred thirty thousand, one hundred sixty".