268960001 has 8 divisors (see below), whose sum is σ = 276465960. Its totient is φ = 261544192.

The previous prime is 268959989. The next prime is 268960019. The reversal of 268960001 is 100069862.

It is a Cunningham number, because it is equal to 16400²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 268960000 = 1^2 + 16400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-268960001 is a prime.

It is a super-3 number, since 3×268960001³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 268960001.

It is not an unprimeable number, because it can be changed into a prime (268960031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16466 + ... + 28443.

It is an arithmetic number, because the mean of its divisors is an integer number (34558245).

Almost surely, 2^268960001 is an apocalyptic number.

It is an amenable number.

268960001 is a deficient number, since it is larger than the sum of its proper divisors (7505959).

268960001 is a wasteful number, since it uses less digits than its factorization.

268960001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45075.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 268960001 is about 16400.0000304878. Note that the first 4 decimals coincide. The cubic root of 268960001 is about 645.4994837040.

The spelling of 268960001 in words is "two hundred sixty-eight million, nine hundred sixty thousand, one".