268112000 has 128 divisors (see below), whose sum is σ = 718426800. Its totient is φ = 98918400.

The previous prime is 268111993. The next prime is 268112041. The reversal of 268112000 is 211862.

It can be written as a sum of positive squares in 8 ways, for example, as 6190144 + 261921856 = 2488^2 + 16184^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207356 + ... + 208644.

Almost surely, 2^268112000 is an apocalyptic number.

268112000 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 268112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359213400).

268112000 is an abundant number, since it is smaller than the sum of its proper divisors (450314800).

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

268112000 is a wasteful number, since it uses less digits than its factorization.

268112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 268112000 is about 16374.1259308703. The cubic root of 268112000 is about 644.8203734324.

Adding to 268112000 its reverse (211862), we get a palindrome (268323862).

The spelling of 268112000 in words is "two hundred sixty-eight million, one hundred twelve thousand".