268005837 has 32 divisors (see below), whose sum is σ = 402739200. Its totient is φ = 157101120.

The previous prime is 268005827. The next prime is 268005847. The reversal of 268005837 is 738500862.

It is an interprime number because it is at equal distance from previous prime (268005827) and next prime (268005847).

It is not a de Polignac number, because 268005837 - 2⁷ = 268005709 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 268005795 and 268005804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268005827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242428 + ... + 243530.

It is an arithmetic number, because the mean of its divisors is an integer number (12585600).

Almost surely, 2^268005837 is an apocalyptic number.

It is an amenable number.

268005837 is a deficient number, since it is larger than the sum of its proper divisors (134733363).

268005837 is a wasteful number, since it uses less digits than its factorization.

268005837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 268005837 is about 16370.8838185359. The cubic root of 268005837 is about 644.7352534046.

The spelling of 268005837 in words is "two hundred sixty-eight million, five thousand, eight hundred thirty-seven".