268159920 has 320 divisors, whose sum is σ = 1036124160. Its totient is φ = 55987200.

The previous prime is 268159909. The next prime is 268159943. The reversal of 268159920 is 29951862.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 989385 + ... + 989655.

It is an arithmetic number, because the mean of its divisors is an integer number (3237888).

Almost surely, 2^268159920 is an apocalyptic number.

268159920 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 268159920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518062080).

268159920 is an abundant number, since it is smaller than the sum of its proper divisors (767964240).

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

268159920 is a wasteful number, since it uses less digits than its factorization.

268159920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 268159920 is about 16375.5891497070. The cubic root of 268159920 is about 644.8587876667.

The spelling of 268159920 in words is "two hundred sixty-eight million, one hundred fifty-nine thousand, nine hundred twenty".