268960000 has 135 divisors (see below), whose sum is σ = 687633793. Its totient is φ = 104960000.

The previous prime is 268959989. The next prime is 268960019. The reversal of 268960000 is 69862.

The square root of 268960000 is 16400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 267911424 + 1048576 = 16368^2 + 1024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6559980 + ... + 6560020.

Almost surely, 2^268960000 is an apocalyptic number.

268960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

268960000 is the 16400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268960000

268960000 is an abundant number, since it is smaller than the sum of its proper divisors (418673793).

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

268960000 is an frugal number, since it uses more digits than its factorization.

268960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 268960000 is about 645.4994829040.

Multiplying 268960000 by its product of nonzero digits (5184), we get a square (1394288640000 = 1180800²).

The spelling of 268960000 in words is "two hundred sixty-eight million, nine hundred sixty thousand".