849882168 has 72 divisors (see below), whose sum is σ = 2325730680. Its totient is φ = 280374240.

The previous prime is 849882167. The next prime is 849882169. The reversal of 849882168 is 861288948.

It is an interprime number because it is at equal distance from previous prime (849882167) and next prime (849882169).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849882161) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 823813 + ... + 824843.

It is an arithmetic number, because the mean of its divisors is an integer number (32301815).

Almost surely, 2^849882168 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 849882168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162865340).

849882168 is an abundant number, since it is smaller than the sum of its proper divisors (1475848512).

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

849882168 is a wasteful number, since it uses less digits than its factorization.

849882168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1143 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 849882168 is about 29152.7386020593. The cubic root of 849882168 is about 947.2244631980.

The spelling of 849882168 in words is "eight hundred forty-nine million, eight hundred eighty-two thousand, one hundred sixty-eight".