268871680 has 288 divisors, whose sum is σ = 836559360. Its totient is φ = 81100800.

The previous prime is 268871663. The next prime is 268871683. The reversal of 268871680 is 86178862.

268871680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 268871680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268871683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8673265 + ... + 8673295.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^268871680 is an apocalyptic number.

268871680 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 268871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

268871680 is an abundant number, since it is smaller than the sum of its proper divisors (567687680).

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

268871680 is a wasteful number, since it uses less digits than its factorization.

268871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 268871680 is about 16397.3070959838. The cubic root of 268871680 is about 645.4288196632.

The spelling of 268871680 in words is "two hundred sixty-eight million, eight hundred seventy-one thousand, six hundred eighty".