268289641 has 8 divisors (see below), whose sum is σ = 284134464. Its totient is φ = 252793200.

The previous prime is 268289629. The next prime is 268289647. The reversal of 268289641 is 146982862.

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 268289641 - 2⁹ = 268289129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268289591 and 268289600.

It is not an unprimeable number, because it can be changed into a prime (268289647) 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 7 ways as a sum of consecutive naturals, for example, 85510 + ... + 88591.

It is an arithmetic number, because the mean of its divisors is an integer number (35516808).

Almost surely, 2^268289641 is an apocalyptic number.

It is an amenable number.

268289641 is a deficient number, since it is larger than the sum of its proper divisors (15844823).

268289641 is a wasteful number, since it uses less digits than its factorization.

268289641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174191.

The product of its digits is 331776, while the sum is 46.

The square root of 268289641 is about 16379.5494748787. The cubic root of 268289641 is about 644.9627532925.

The spelling of 268289641 in words is "two hundred sixty-eight million, two hundred eighty-nine thousand, six hundred forty-one".