849200112 has 200 divisors, whose sum is σ = 2650306560. Its totient is φ = 261740160.

The previous prime is 849200111. The next prime is 849200119. The reversal of 849200112 is 211002948.

It is a super-2 number, since 2×849200112² = 1442281660441625088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849200111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 923589 + ... + 924507.

Almost surely, 2^849200112 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 849200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325153280).

849200112 is an abundant number, since it is smaller than the sum of its proper divisors (1801106448).

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

849200112 is a wasteful number, since it uses less digits than its factorization.

849200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 849200112 is about 29141.0382793750. The cubic root of 849200112 is about 946.9710033431.

The spelling of 849200112 in words is "eight hundred forty-nine million, two hundred thousand, one hundred twelve".