848001168 has 240 divisors, whose sum is σ = 2872197120. Its totient is φ = 228324096.

The previous prime is 848001139. The next prime is 848001169. The reversal of 848001168 is 861100848.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (848001169) 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 47 ways as a sum of consecutive naturals, for example, 1831305 + ... + 1831767.

It is an arithmetic number, because the mean of its divisors is an integer number (11967488).

Almost surely, 2^848001168 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 848001168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436098560).

848001168 is an abundant number, since it is smaller than the sum of its proper divisors (2024195952).

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

848001168 is a wasteful number, since it uses less digits than its factorization.

848001168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 848001168 is about 29120.4596117575. The cubic root of 848001168 is about 946.5251328004.

The spelling of 848001168 in words is "eight hundred forty-eight million, one thousand, one hundred sixty-eight".