846103968 has 120 divisors (see below), whose sum is σ = 2502508932. Its totient is φ = 280433664.

The previous prime is 846103963. The next prime is 846103969. The reversal of 846103968 is 869301648.

It can be written as a sum of positive squares in 2 ways, for example, as 802702224 + 43401744 = 28332^2 + 6588^2 .

It is not an unprimeable number, because it can be changed into a prime (846103963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 509796 + ... + 511452.

Almost surely, 2^846103968 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 846103968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251254466).

846103968 is an abundant number, since it is smaller than the sum of its proper divisors (1656404964).

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

846103968 is a wasteful number, since it uses less digits than its factorization.

846103968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 846103968 is about 29087.8663363266. The cubic root of 846103968 is about 945.8187311263.

The spelling of 846103968 in words is "eight hundred forty-six million, one hundred three thousand, nine hundred sixty-eight".