268891200 has 252 divisors, whose sum is σ = 972848448. Its totient is φ = 70425600.

The previous prime is 268891177. The next prime is 268891213. The reversal of 268891200 is 2198862.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1022269 + ... + 1022531.

Almost surely, 2^268891200 is an apocalyptic number.

268891200 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 268891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486424224).

268891200 is an abundant number, since it is smaller than the sum of its proper divisors (703957248).

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

268891200 is a wasteful number, since it uses less digits than its factorization.

268891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 268891200 is about 16397.9023048681. The cubic root of 268891200 is about 645.4444385955. Note that the first 4 decimals are identical.

The spelling of 268891200 in words is "two hundred sixty-eight million, eight hundred ninety-one thousand, two hundred".