268871620 has 24 divisors (see below), whose sum is σ = 564982488. Its totient is φ = 107481600.

The previous prime is 268871599. The next prime is 268871621. The reversal of 268871620 is 26178862.

268871620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2268036 + 266603584 = 1506^2 + 16328^2 .

It is not an unprimeable number, because it can be changed into a prime (268871621) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40110 + ... + 46330.

It is an arithmetic number, because the mean of its divisors is an integer number (23540937).

Almost surely, 2^268871620 is an apocalyptic number.

268871620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268871620 is an abundant number, since it is smaller than the sum of its proper divisors (296110868).

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

268871620 is a wasteful number, since it uses less digits than its factorization.

268871620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 268871620 is about 16397.3052664150. The cubic root of 268871620 is about 645.4287716530.

The spelling of 268871620 in words is "two hundred sixty-eight million, eight hundred seventy-one thousand, six hundred twenty".