849959664 has 80 divisors (see below), whose sum is σ = 2330208000. Its totient is φ = 266387968.

The previous prime is 849959647. The next prime is 849959681. The reversal of 849959664 is 466959948.

849959664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (849959647) and next prime (849959681).

It is a junction number, because it is equal to n+sod(n) for n = 849959598 and 849959607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58612 + ... + 71660.

It is an arithmetic number, because the mean of its divisors is an integer number (29127600).

Almost surely, 2^849959664 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 849959664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165104000).

849959664 is an abundant number, since it is smaller than the sum of its proper divisors (1480248336).

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

849959664 is a wasteful number, since it uses less digits than its factorization.

849959664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13142 (or 13136 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 60.

The square root of 849959664 is about 29154.0677093266. The cubic root of 849959664 is about 947.2532530228.

The spelling of 849959664 in words is "eight hundred forty-nine million, nine hundred fifty-nine thousand, six hundred sixty-four".