846365868 has 192 divisors, whose sum is σ = 2451456000. Its totient is φ = 251304768.

The previous prime is 846365867. The next prime is 846365873. The reversal of 846365868 is 868563648.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (846365867) 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 63 ways as a sum of consecutive naturals, for example, 3728371 + ... + 3728597.

It is an arithmetic number, because the mean of its divisors is an integer number (12768000).

Almost surely, 2^846365868 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 846365868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225728000).

846365868 is an abundant number, since it is smaller than the sum of its proper divisors (1605090132).

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

846365868 is a wasteful number, since it uses less digits than its factorization.

846365868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 846365868 is about 29092.3678651292. The cubic root of 846365868 is about 945.9163095095.

The spelling of 846365868 in words is "eight hundred forty-six million, three hundred sixty-five thousand, eight hundred sixty-eight".