268823880 has 256 divisors, whose sum is σ = 990662400. Its totient is φ = 64419840.

The previous prime is 268823869. The next prime is 268823903. The reversal of 268823880 is 88328862.

268823880 is a `hidden beast` number, since 268 + 8 + 2 + 388 + 0 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575407 + ... + 575873.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^268823880 is an apocalyptic number.

268823880 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 268823880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

268823880 is an abundant number, since it is smaller than the sum of its proper divisors (721838520).

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

268823880 is a wasteful number, since it uses less digits than its factorization.

268823880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

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

The square root of 268823880 is about 16395.8494747909. The cubic root of 268823880 is about 645.3905692904.

The spelling of 268823880 in words is "two hundred sixty-eight million, eight hundred twenty-three thousand, eight hundred eighty".