506666160 has 960 divisors, whose sum is σ = 2469841920. Its totient is φ = 89579520.

The previous prime is 506666159. The next prime is 506666177. The reversal of 506666160 is 61666605.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13693662 + ... + 13693698.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^506666160 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 506666160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234920960).

506666160 is an abundant number, since it is smaller than the sum of its proper divisors (1963175760).

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

506666160 is a wasteful number, since it uses less digits than its factorization.

506666160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 506666160 is about 22509.2461002140. The cubic root of 506666160 is about 797.2122552160.

It can be divided in two parts, 506 and 666160, that added together give a palindrome (666666).

The spelling of 506666160 in words is "five hundred six million, six hundred sixty-six thousand, one hundred sixty".