506128860 has 72 divisors (see below), whose sum is σ = 1540951776. Its totient is φ = 134467200.

The previous prime is 506128841. The next prime is 506128901. The reversal of 506128860 is 68821605.

It is a happy number.

506128860 is a `hidden beast` number, since 506 + 12 + 88 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44785 + ... + 54935.

It is an arithmetic number, because the mean of its divisors is an integer number (21402108).

Almost surely, 2^506128860 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 506128860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770475888).

506128860 is an abundant number, since it is smaller than the sum of its proper divisors (1034822916).

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

506128860 is a wasteful number, since it uses less digits than its factorization.

506128860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10443 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 506128860 is about 22497.3078389393. The cubic root of 506128860 is about 796.9303512186.

The spelling of 506128860 in words is "five hundred six million, one hundred twenty-eight thousand, eight hundred sixty".