268489920 has 112 divisors (see below), whose sum is σ = 856171008. Its totient is φ = 71285760.

The previous prime is 268489919. The next prime is 268489933. The reversal of 268489920 is 29984862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 268489920.

It is an unprimeable number.

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, 294265 + ... + 295175.

It is an arithmetic number, because the mean of its divisors is an integer number (7644384).

Almost surely, 2^268489920 is an apocalyptic number.

268489920 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 268489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428085504).

268489920 is an abundant number, since it is smaller than the sum of its proper divisors (587681088).

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

268489920 is a wasteful number, since it uses less digits than its factorization.

268489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 268489920 is about 16385.6620250755. The cubic root of 268489920 is about 645.1232022332.

The spelling of 268489920 in words is "two hundred sixty-eight million, four hundred eighty-nine thousand, nine hundred twenty".