853120 has 64 divisors (see below), whose sum is σ = 2154240. Its totient is φ = 322560.

The previous prime is 853103. The next prime is 853123. The reversal of 853120 is 21358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (853123) by changing a digit.

853120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19819 + ... + 19861.

It is an arithmetic number, because the mean of its divisors is an integer number (33660).

2⁸⁵³¹²⁰ is an apocalyptic number.

853120 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 853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077120).

853120 is an abundant number, since it is smaller than the sum of its proper divisors (1301120).

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

853120 is a wasteful number, since it uses less digits than its factorization.

853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 853120 is about 923.6449534318. The cubic root of 853120 is about 94.8425832536.

Adding to 853120 its reverse (21358), we get a palindrome (874478).

The spelling of 853120 in words is "eight hundred fifty-three thousand, one hundred twenty".