284173668 has 72 divisors (see below), whose sum is σ = 746436600. Its totient is φ = 91047936.

The previous prime is 284173663. The next prime is 284173679. The reversal of 284173668 is 866371482.

284173668 is a `hidden beast` number, since 284 + 1 + 7 + 366 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34786404 + 249387264 = 5898^2 + 15792^2 .

It is not an unprimeable number, because it can be changed into a prime (284173663) 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 23 ways as a sum of consecutive naturals, for example, 305428 + ... + 306356.

It is an arithmetic number, because the mean of its divisors is an integer number (10367175).

Almost surely, 2^284173668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284173668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373218300).

284173668 is an abundant number, since it is smaller than the sum of its proper divisors (462262932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284173668 is a wasteful number, since it uses less digits than its factorization.

284173668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1256 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 284173668 is about 16857.4514087984. The cubic root of 284173668 is about 657.4478018579.

The spelling of 284173668 in words is "two hundred eighty-four million, one hundred seventy-three thousand, six hundred sixty-eight".