849100 has 36 divisors (see below), whose sum is σ = 2107504. Its totient is φ = 290880.

The previous prime is 849097. The next prime is 849103. The reversal of 849100 is 1948.

It is an interprime number because it is at equal distance from previous prime (849097) and next prime (849103).

It is not an unprimeable number, because it can be changed into a prime (849103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 1306.

2⁸⁴⁹¹⁰⁰ 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 849100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053752).

849100 is an abundant number, since it is smaller than the sum of its proper divisors (1258404).

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

849100 is a wasteful number, since it uses less digits than its factorization.

849100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 849100 is about 921.4662229295. The cubic root of 849100 is about 94.6933789152.

It can be divided in two parts, 849 and 100, that added together give a palindrome (949).

The spelling of 849100 in words is "eight hundred forty-nine thousand, one hundred".