268850880 has 336 divisors, whose sum is σ = 1008827040. Its totient is φ = 67350528.

The previous prime is 268850863. The next prime is 268850929. The reversal of 268850880 is 88058862.

268850880 is a `hidden beast` number, since 2 + 68 + 8 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7266222 + ... + 7266258.

Almost surely, 2^268850880 is an apocalyptic number.

268850880 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 268850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504413520).

268850880 is an abundant number, since it is smaller than the sum of its proper divisors (739976160).

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

268850880 is a wasteful number, since it uses less digits than its factorization.

268850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 268850880 is about 16396.6728332305. The cubic root of 268850880 is about 645.4121757067.

The spelling of 268850880 in words is "two hundred sixty-eight million, eight hundred fifty thousand, eight hundred eighty".