268961200 has 120 divisors (see below), whose sum is σ = 670178336. Its totient is φ = 103680000.

The previous prime is 268961191. The next prime is 268961237. The reversal of 268961200 is 2169862.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1781125 + ... + 1781275.

Almost surely, 2^268961200 is an apocalyptic number.

268961200 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 268961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335089168).

268961200 is an abundant number, since it is smaller than the sum of its proper divisors (401217136).

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

268961200 is a wasteful number, since it uses less digits than its factorization.

268961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 268961200 is about 16400.0365853250. The cubic root of 268961200 is about 645.5004428959.

The spelling of 268961200 in words is "two hundred sixty-eight million, nine hundred sixty-one thousand, two hundred".