846320166 has 72 divisors (see below), whose sum is σ = 1951722864. Its totient is φ = 264841920.

The previous prime is 846320159. The next prime is 846320191. The reversal of 846320166 is 661023648.

846320166 is a `hidden beast` number, since 8 + 4 + 632 + 0 + 16 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 846320166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 559351 + ... + 560861.

It is an arithmetic number, because the mean of its divisors is an integer number (27107262).

Almost surely, 2^846320166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846320166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975861432).

846320166 is an abundant number, since it is smaller than the sum of its proper divisors (1105402698).

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

846320166 is a wasteful number, since it uses less digits than its factorization.

846320166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 846320166 is about 29091.5823907879. The cubic root of 846320166 is about 945.8992833640.

The spelling of 846320166 in words is "eight hundred forty-six million, three hundred twenty thousand, one hundred sixty-six".