268288600 has 24 divisors (see below), whose sum is σ = 623771460. Its totient is φ = 107315360.

The previous prime is 268288571. The next prime is 268288613. The reversal of 268288600 is 6882862.

268288600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 5 ways as a sum of consecutive naturals, for example, 670522 + ... + 670921.

Almost surely, 2^268288600 is an apocalyptic number.

268288600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268288600 is an abundant number, since it is smaller than the sum of its proper divisors (355482860).

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

268288600 is a wasteful number, since it uses less digits than its factorization.

268288600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341459 (or 1341450 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 268288600 is about 16379.5176974171. The cubic root of 268288600 is about 644.9619191106.

The spelling of 268288600 in words is "two hundred sixty-eight million, two hundred eighty-eight thousand, six hundred".