842120 has 32 divisors (see below), whose sum is σ = 1949400. Its totient is φ = 327168.

The previous prime is 842113. The next prime is 842141. The reversal of 842120 is 21248.

It can be written as a sum of positive squares in 4 ways, for example, as 702244 + 139876 = 838^2 + 374^2 .

It is an unprimeable number.

842120 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 7 ways as a sum of consecutive naturals, for example, 1196 + ... + 1764.

2⁸⁴²¹²⁰ 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 842120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974700).

842120 is an abundant number, since it is smaller than the sum of its proper divisors (1107280).

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

842120 is a wasteful number, since it uses less digits than its factorization.

842120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 842120 is about 917.6709649978. The cubic root of 842120 is about 94.4331899956.

Adding to 842120 its product of nonzero digits (128), we get a palindrome (842248).

Adding to 842120 its reverse (21248), we get a palindrome (863368).

The spelling of 842120 in words is "eight hundred forty-two thousand, one hundred twenty".