268395600 has 120 divisors (see below), whose sum is σ = 937966752. Its totient is φ = 65062400.

The previous prime is 268395599. The next prime is 268395703. The reversal of 268395600 is 6593862.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3034 + ... + 23366.

Almost surely, 2^268395600 is an apocalyptic number.

268395600 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 268395600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468983376).

268395600 is an abundant number, since it is smaller than the sum of its proper divisors (669571152).

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

268395600 is a wasteful number, since it uses less digits than its factorization.

268395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365 (or 20354 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 268395600 is about 16382.7836462550. The cubic root of 268395600 is about 645.0476498660.

The spelling of 268395600 in words is "two hundred sixty-eight million, three hundred ninety-five thousand, six hundred".