846163746 has 160 divisors (see below), whose sum is σ = 2147333760. Its totient is φ = 247463424.

The previous prime is 846163741. The next prime is 846163771. The reversal of 846163746 is 647361648.

It is a happy number.

846163746 is a `hidden beast` number, since 8 + 4 + 6 + 1 + 637 + 4 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (846163741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5389500 + ... + 5389656.

It is an arithmetic number, because the mean of its divisors is an integer number (13420836).

Almost surely, 2^846163746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846163746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073666880).

846163746 is an abundant number, since it is smaller than the sum of its proper divisors (1301170014).

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

846163746 is a wasteful number, since it uses less digits than its factorization.

846163746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 846163746 is about 29088.8938600284. The cubic root of 846163746 is about 945.8410049140.

The spelling of 846163746 in words is "eight hundred forty-six million, one hundred sixty-three thousand, seven hundred forty-six".