268833600 has 504 divisors, whose sum is σ = 1148974080. Its totient is φ = 60963840.

The previous prime is 268833571. The next prime is 268833611. The reversal of 268833600 is 6338862.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 2116737 + ... + 2116863.

Almost surely, 2^268833600 is an apocalyptic number.

268833600 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 268833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574487040).

268833600 is an abundant number, since it is smaller than the sum of its proper divisors (880140480).

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

268833600 is a wasteful number, since it uses less digits than its factorization.

268833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 268833600 is about 16396.1458885922. The cubic root of 268833600 is about 645.3983477669.

The spelling of 268833600 in words is "two hundred sixty-eight million, eight hundred thirty-three thousand, six hundred".