506041668 has 288 divisors, whose sum is σ = 1585059840. Its totient is φ = 139501440.

The previous prime is 506041661. The next prime is 506041691. The reversal of 506041668 is 866140605.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (506041661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9547930 + ... + 9547982.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^506041668 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 506041668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

506041668 is an abundant number, since it is smaller than the sum of its proper divisors (1079018172).

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

506041668 is a wasteful number, since it uses less digits than its factorization.

506041668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 506041668 is about 22495.3699236087. The cubic root of 506041668 is about 796.8845855733.

The spelling of 506041668 in words is "five hundred six million, forty-one thousand, six hundred sixty-eight".