505706166 has 160 divisors (see below), whose sum is σ = 1393920000. Its totient is φ = 136597104.

The previous prime is 505706119. The next prime is 505706171. The reversal of 505706166 is 661607505.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 505706166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1055515 + ... + 1055993.

It is an arithmetic number, because the mean of its divisors is an integer number (8712000).

Almost surely, 2^505706166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505706166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696960000).

505706166 is an abundant number, since it is smaller than the sum of its proper divisors (888213834).

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

505706166 is a wasteful number, since it uses less digits than its factorization.

505706166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 505706166 is about 22487.9115526542. The cubic root of 505706166 is about 796.7084370490.

The spelling of 505706166 in words is "five hundred five million, seven hundred six thousand, one hundred sixty-six".