268992800 has 144 divisors (see below), whose sum is σ = 689018400. Its totient is φ = 102451200.

The previous prime is 268992793. The next prime is 268992803. The reversal of 268992800 is 8299862.

It is a Cunningham number, because it is equal to 16401²-1.

It is not an unprimeable number, because it can be changed into a prime (268992803) by changing a digit.

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, 1935131 + ... + 1935269.

It is an arithmetic number, because the mean of its divisors is an integer number (4784850).

Almost surely, 2^268992800 is an apocalyptic number.

268992800 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 268992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344509200).

268992800 is an abundant number, since it is smaller than the sum of its proper divisors (420025600).

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

268992800 is a wasteful number, since it uses less digits than its factorization.

268992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 268992800 is about 16400.9999695141. Note that the first 4 decimals coincide. The cubic root of 268992800 is about 645.5257216538.

The spelling of 268992800 in words is "two hundred sixty-eight million, nine hundred ninety-two thousand, eight hundred".