849120 has 96 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 215040.

The previous prime is 849119. The next prime is 849127. The reversal of 849120 is 21948.

849120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13890 + ... + 13950.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁸⁴⁹¹²⁰ is an apocalyptic number.

849120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

849120 is an abundant number, since it is smaller than the sum of its proper divisors (1963200).

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

849120 is a wasteful number, since it uses less digits than its factorization.

849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 849120 is about 921.4770751354. The cubic root of 849120 is about 94.6941223897.

It can be divided in two parts, 849 and 120, that added together give a palindrome (969).

The spelling of 849120 in words is "eight hundred forty-nine thousand, one hundred twenty".