506065768 has 32 divisors (see below), whose sum is σ = 1027945800. Its totient is φ = 233560704.

The previous prime is 506065751. The next prime is 506065771. The reversal of 506065768 is 867560605.

It can be written as a sum of positive squares in 4 ways, for example, as 3319684 + 502746084 = 1822^2 + 22422^2 .

It is a super-2 number, since 2×506065768² = 512205123082859648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3180 + ... + 31972.

Almost surely, 2^506065768 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 506065768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513972900).

506065768 is an abundant number, since it is smaller than the sum of its proper divisors (521880032).

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

506065768 is a wasteful number, since it uses less digits than its factorization.

506065768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28838 (or 28808 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The square root of 506065768 is about 22495.9055830167. The cubic root of 506065768 is about 796.8972357922.

The spelling of 506065768 in words is "five hundred six million, sixty-five thousand, seven hundred sixty-eight".