268541093 has 8 divisors (see below), whose sum is σ = 273669240. Its totient is φ = 263436480.

The previous prime is 268541087. The next prime is 268541101. The reversal of 268541093 is 390145862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17698849 + 250842244 = 4207^2 + 15838^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 268541093 - 2⁶ = 268541029 is a prime.

It is a super-2 number, since 2×268541093² = 144228637259269298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268541593) 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, 18071 + ... + 29387.

It is an arithmetic number, because the mean of its divisors is an integer number (34208655).

Almost surely, 2^268541093 is an apocalyptic number.

It is an amenable number.

268541093 is a deficient number, since it is larger than the sum of its proper divisors (5128147).

268541093 is a wasteful number, since it uses less digits than its factorization.

268541093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11767.

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 268541093 is about 16387.2234682999. The cubic root of 268541093 is about 645.1641855129.

The spelling of 268541093 in words is "two hundred sixty-eight million, five hundred forty-one thousand, ninety-three".