362066166 has 128 divisors (see below), whose sum is σ = 1056153600. Its totient is φ = 89074080.

The previous prime is 362066137. The next prime is 362066167. The reversal of 362066166 is 661660263.

362066166 is a `hidden beast` number, since 36 + 2 + 0 + 6 + 616 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 362066166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362066167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76711 + ... + 81293.

It is an arithmetic number, because the mean of its divisors is an integer number (8251200).

Almost surely, 2^362066166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362066166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528076800).

362066166 is an abundant number, since it is smaller than the sum of its proper divisors (694087434).

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

362066166 is a wasteful number, since it uses less digits than its factorization.

362066166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 362066166 is about 19028.0363148697. The cubic root of 362066166 is about 712.7370158838.

The spelling of 362066166 in words is "three hundred sixty-two million, sixty-six thousand, one hundred sixty-six".