268224561 has 32 divisors (see below), whose sum is σ = 440870400. Its totient is φ = 159794640.

The previous prime is 268224559. The next prime is 268224569. The reversal of 268224561 is 165422862.

It is a happy number.

It is not a de Polignac number, because 268224561 - 2¹ = 268224559 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (268224569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9870 + ... + 25176.

It is an arithmetic number, because the mean of its divisors is an integer number (13777200).

Almost surely, 2^268224561 is an apocalyptic number.

It is an amenable number.

268224561 is a deficient number, since it is larger than the sum of its proper divisors (172645839).

268224561 is a wasteful number, since it uses less digits than its factorization.

268224561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15386 (or 15380 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 268224561 is about 16377.5627307606. The cubic root of 268224561 is about 644.9105987501.

The spelling of 268224561 in words is "two hundred sixty-eight million, two hundred twenty-four thousand, five hundred sixty-one".