506020608 has 180 divisors, whose sum is σ = 1575948528. Its totient is φ = 161187840.

The previous prime is 506020607. The next prime is 506020633. The reversal of 506020608 is 806020605.

506020608 is a `hidden beast` number, since 50 + 6 + 0 + 2 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (506020607) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476398 + ... + 477458.

Almost surely, 2^506020608 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 506020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787974264).

506020608 is an abundant number, since it is smaller than the sum of its proper divisors (1069927920).

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

506020608 is a wasteful number, since it uses less digits than its factorization.

506020608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506020608 is about 22494.9018224130. The cubic root of 506020608 is about 796.8735307378.

The spelling of 506020608 in words is "five hundred six million, twenty thousand, six hundred eight".