846162564 has 96 divisors (see below), whose sum is σ = 2189523840. Its totient is φ = 252730368.

The previous prime is 846162529. The next prime is 846162599. The reversal of 846162564 is 465261648.

846162564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (846162529) and next prime (846162599).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762442 + ... + 763550.

It is an arithmetic number, because the mean of its divisors is an integer number (22807540).

Almost surely, 2^846162564 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 846162564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094761920).

846162564 is an abundant number, since it is smaller than the sum of its proper divisors (1343361276).

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

846162564 is a wasteful number, since it uses less digits than its factorization.

846162564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1267 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 846162564 is about 29088.8735429889. The cubic root of 846162564 is about 945.8405645010.

The spelling of 846162564 in words is "eight hundred forty-six million, one hundred sixty-two thousand, five hundred sixty-four".