268800000 has 312 divisors, whose sum is σ = 1023809472. Its totient is φ = 61440000.

The previous prime is 268799989. The next prime is 268800031. The reversal of 268800000 is 8862.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1000 × 280 × 960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38399997 + ... + 38400003.

Almost surely, 2^268800000 is an apocalyptic number.

268800000 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 268800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511904736).

268800000 is an abundant number, since it is smaller than the sum of its proper divisors (755009472).

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

268800000 is an frugal number, since it uses more digits than its factorization.

268800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 268800000 is about 16395.1212255354. The cubic root of 268800000 is about 645.3714584098.

Adding to 268800000 its reverse (8862), we get a palindrome (268808862).

The spelling of 268800000 in words is "two hundred sixty-eight million, eight hundred thousand".