849000 has 64 divisors (see below), whose sum is σ = 2658240. Its totient is φ = 225600.

The previous prime is 848993. The next prime is 849019. The reversal of 849000 is 948.

849000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

849000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2859 + ... + 3141.

It is an arithmetic number, because the mean of its divisors is an integer number (41535).

2⁸⁴⁹⁰⁰⁰ 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 849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329120).

849000 is an abundant number, since it is smaller than the sum of its proper divisors (1809240).

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

849000 is a wasteful number, since it uses less digits than its factorization.

849000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 849000 is about 921.4119599832. The cubic root of 849000 is about 94.6896613673.

Adding to 849000 its reverse (948), we get a palindrome (849948).

The spelling of 849000 in words is "eight hundred forty-nine thousand".