268238880 has 576 divisors, whose sum is σ = 1188794880. Its totient is φ = 53526528.

The previous prime is 268238849. The next prime is 268238897. The reversal of 268238880 is 88832862.

268238880 is a `hidden beast` number, since 268 + 2 + 388 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3013876 + ... + 3013964.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^268238880 is an apocalyptic number.

268238880 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 268238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

268238880 is an abundant number, since it is smaller than the sum of its proper divisors (920556000).

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

268238880 is a wasteful number, since it uses less digits than its factorization.

268238880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 268238880 is about 16377.9998778850. Note that the first 3 decimals coincide. The cubic root of 268238880 is about 644.9220745952.

The spelling of 268238880 in words is "two hundred sixty-eight million, two hundred thirty-eight thousand, eight hundred eighty".