268541337 has 8 divisors (see below), whose sum is σ = 363925120. Its totient is φ = 176092560.

The previous prime is 268541327. The next prime is 268541369. The reversal of 268541337 is 733145862.

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

It is not a de Polignac number, because 268541337 - 2⁸ = 268541081 is a prime.

It is a super-2 number, since 2×268541337² = 144228899355495138, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268541295 and 268541304.

It is not an unprimeable number, because it can be changed into a prime (268541327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733537 + ... + 733902.

It is an arithmetic number, because the mean of its divisors is an integer number (45490640).

Almost surely, 2^268541337 is an apocalyptic number.

It is an amenable number.

268541337 is a deficient number, since it is larger than the sum of its proper divisors (95383783).

268541337 is a wasteful number, since it uses less digits than its factorization.

268541337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467503.

The product of its digits is 120960, while the sum is 39.

The square root of 268541337 is about 16387.2309131226. The cubic root of 268541337 is about 645.1643809144.

The spelling of 268541337 in words is "two hundred sixty-eight million, five hundred forty-one thousand, three hundred thirty-seven".