268195200 has 384 divisors, whose sum is σ = 1090763520. Its totient is φ = 56401920.

The previous prime is 268195199. The next prime is 268195201. The reversal of 268195200 is 2591862.

It is an interprime number because it is at equal distance from previous prime (268195199) and next prime (268195201).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268195201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873447 + ... + 873753.

It is an arithmetic number, because the mean of its divisors is an integer number (2840530).

Almost surely, 2^268195200 is an apocalyptic number.

268195200 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 268195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545381760).

268195200 is an abundant number, since it is smaller than the sum of its proper divisors (822568320).

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

268195200 is a wasteful number, since it uses less digits than its factorization.

268195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 268195200 is about 16376.6663274306. Note that the first 3 decimals coincide. The cubic root of 268195200 is about 644.8870663401.

The spelling of 268195200 in words is "two hundred sixty-eight million, one hundred ninety-five thousand, two hundred".