845668872 has 96 divisors (see below), whose sum is σ = 2424146400. Its totient is φ = 265586688.

The previous prime is 845668867. The next prime is 845668877. The reversal of 845668872 is 278866548.

845668872 is a `hidden beast` number, since 8 + 4 + 566 + 8 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (845668867) and next prime (845668877).

It is not an unprimeable number, because it can be changed into a prime (845668877) 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 23 ways as a sum of consecutive naturals, for example, 262423 + ... + 265625.

It is an arithmetic number, because the mean of its divisors is an integer number (25251525).

Almost surely, 2^845668872 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 845668872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212073200).

845668872 is an abundant number, since it is smaller than the sum of its proper divisors (1578477528).

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

845668872 is a wasteful number, since it uses less digits than its factorization.

845668872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3420 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 845668872 is about 29080.3863798265. The cubic root of 845668872 is about 945.6565790654.

The spelling of 845668872 in words is "eight hundred forty-five million, six hundred sixty-eight thousand, eight hundred seventy-two".