849252120 has 128 divisors (see below), whose sum is σ = 2754604800. Its totient is φ = 208728576.

The previous prime is 849252067. The next prime is 849252121. The reversal of 849252120 is 21252948.

849252120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849252121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79327 + ... + 89393.

It is an arithmetic number, because the mean of its divisors is an integer number (21520350).

Almost surely, 2^849252120 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 849252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377302400).

849252120 is an abundant number, since it is smaller than the sum of its proper divisors (1905352680).

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

849252120 is a wasteful number, since it uses less digits than its factorization.

849252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10137 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 849252120 is about 29141.9306155237. The cubic root of 849252120 is about 946.9903348928.

The spelling of 849252120 in words is "eight hundred forty-nine million, two hundred fifty-two thousand, one hundred twenty".