852957196 has 144 divisors (see below), whose sum is σ = 1992211200. Its totient is φ = 311890176.

The previous prime is 852957187. The next prime is 852957197. The reversal of 852957196 is 691759258.

It is a Harshad number since it is a multiple of its sum of digits (52).

Its product of digits (1360800) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (852957197) 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, 4765035 + ... + 4765213.

It is an arithmetic number, because the mean of its divisors is an integer number (13834800).

Almost surely, 2^852957196 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 852957196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996105600).

852957196 is an abundant number, since it is smaller than the sum of its proper divisors (1139254004).

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

852957196 is a wasteful number, since it uses less digits than its factorization.

852957196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 52.

The square root of 852957196 is about 29205.4309333042. The cubic root of 852957196 is about 948.3654981782.

The spelling of 852957196 in words is "eight hundred fifty-two million, nine hundred fifty-seven thousand, one hundred ninety-six".