268135200 has 216 divisors, whose sum is σ = 955438848. Its totient is φ = 70755840.

The previous prime is 268135183. The next prime is 268135207. The reversal of 268135200 is 2531862.

It is not an unprimeable number, because it can be changed into a prime (268135207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1202289 + ... + 1202511.

It is an arithmetic number, because the mean of its divisors is an integer number (4423328).

Almost surely, 2^268135200 is an apocalyptic number.

268135200 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 268135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

268135200 is an abundant number, since it is smaller than the sum of its proper divisors (687303648).

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

268135200 is a wasteful number, since it uses less digits than its factorization.

268135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 268135200 is about 16374.8343503072. The cubic root of 268135200 is about 644.8389718803.

The spelling of 268135200 in words is "two hundred sixty-eight million, one hundred thirty-five thousand, two hundred".