852120 has 80 divisors (see below), whose sum is σ = 2874960. Its totient is φ = 226368.

The previous prime is 852101. The next prime is 852121. The reversal of 852120 is 21258.

852120 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×852120² = 1452216988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 852093 and 852102.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852120.

It is not an unprimeable number, because it can be changed into a prime (852121) by changing a digit.

852120 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 19 ways as a sum of consecutive naturals, for example, 3109 + ... + 3371.

It is an arithmetic number, because the mean of its divisors is an integer number (35937).

2⁸⁵²¹²⁰ 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 852120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437480).

852120 is an abundant number, since it is smaller than the sum of its proper divisors (2022840).

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

852120 is a wasteful number, since it uses less digits than its factorization.

852120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 852120 is about 923.1034611570. The cubic root of 852120 is about 94.8055116167.

Adding to 852120 its reverse (21258), we get a palindrome (873378).

The spelling of 852120 in words is "eight hundred fifty-two thousand, one hundred twenty".