849376 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 362880.

The previous prime is 849353. The next prime is 849383. The reversal of 849376 is 673948.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6625 + ... + 6751.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁸⁴⁹³⁷⁶ 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 849376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

849376 is an abundant number, since it is smaller than the sum of its proper divisors (1085984).

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

849376 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (849375) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (159).

849376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 849376 is about 921.6159720838. The cubic root of 849376 is about 94.7036378330.

It can be divided in two parts, 849 and 376, that added together give a triangular number (1225 = T₄₉).

The spelling of 849376 in words is "eight hundred forty-nine thousand, three hundred seventy-six".