268027200 has 252 divisors, whose sum is σ = 1089131680. Its totient is φ = 61240320.

The previous prime is 268027187. The next prime is 268027231. The reversal of 268027200 is 2720862.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99471 + ... + 102129.

Almost surely, 2^268027200 is an apocalyptic number.

268027200 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 268027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544565840).

268027200 is an abundant number, since it is smaller than the sum of its proper divisors (821104480).

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

268027200 is a wasteful number, since it uses less digits than its factorization.

268027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 268027200 is about 16371.5362748888. The cubic root of 268027200 is about 644.7523837694.

The spelling of 268027200 in words is "two hundred sixty-eight million, twenty-seven thousand, two hundred".