506675760 has 160 divisors (see below), whose sum is σ = 1629056448. Its totient is φ = 130191360.

The previous prime is 506675747. The next prime is 506675773. The reversal of 506675760 is 67576605.

506675760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (506675747) and next prime (506675773).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775594 + ... + 776246.

Almost surely, 2^506675760 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 506675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814528224).

506675760 is an abundant number, since it is smaller than the sum of its proper divisors (1122380688).

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

506675760 is a wasteful number, since it uses less digits than its factorization.

506675760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 506675760 is about 22509.4593449065. The cubic root of 506675760 is about 797.2172902140.

The spelling of 506675760 in words is "five hundred six million, six hundred seventy-five thousand, seven hundred sixty".