506816180 has 48 divisors (see below), whose sum is σ = 1185725520. Its totient is φ = 180676608.

The previous prime is 506816161. The next prime is 506816197. The reversal of 506816180 is 81618605.

It can be written as a sum of positive squares in 8 ways, for example, as 206116 + 506610064 = 454^2 + 22508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 506816180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26069 + ... + 41148.

It is an arithmetic number, because the mean of its divisors is an integer number (24702615).

Almost surely, 2^506816180 is an apocalyptic number.

It is an amenable number.

506816180 is an abundant number, since it is smaller than the sum of its proper divisors (678909340).

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

506816180 is a wasteful number, since it uses less digits than its factorization.

506816180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67268 (or 67266 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 506816180 is about 22512.5782619406. The cubic root of 506816180 is about 797.2909302818.

The spelling of 506816180 in words is "five hundred six million, eight hundred sixteen thousand, one hundred eighty".