268048000 has 128 divisors (see below), whose sum is σ = 727496640. Its totient is φ = 97408000.

The previous prime is 268047973. The next prime is 268048013. The reversal of 268048000 is 840862.

268048000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 268048000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175239 + ... + 176761.

Almost surely, 2^268048000 is an apocalyptic number.

268048000 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 268048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363748320).

268048000 is an abundant number, since it is smaller than the sum of its proper divisors (459448640).

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

268048000 is a wasteful number, since it uses less digits than its factorization.

268048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 268048000 is about 16372.1715114398. The cubic root of 268048000 is about 644.7690618064.

Adding to 268048000 its reverse (840862), we get a palindrome (268888862).

The spelling of 268048000 in words is "two hundred sixty-eight million, forty-eight thousand".