506655168 has 56 divisors (see below), whose sum is σ = 1343802240. Its totient is φ = 168472320.

The previous prime is 506655161. The next prime is 506655179. The reversal of 506655168 is 861556605.

It is a super-2 number, since 2×506655168² = 513398918522216448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506655161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81283 + ... + 87293.

Almost surely, 2^506655168 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 506655168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671901120).

506655168 is an abundant number, since it is smaller than the sum of its proper divisors (837147072).

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

506655168 is a wasteful number, since it uses less digits than its factorization.

506655168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6465 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 506655168 is about 22509.0019325602. The cubic root of 506655168 is about 797.2064900652.

The spelling of 506655168 in words is "five hundred six million, six hundred fifty-five thousand, one hundred sixty-eight".