853021120 has 112 divisors (see below), whose sum is σ = 2343790080. Its totient is φ = 289649664.

The previous prime is 853021073. The next prime is 853021157. The reversal of 853021120 is 21120358.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 853021091 and 853021100.

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 15 ways as a sum of consecutive naturals, for example, 237901 + ... + 241459.

Almost surely, 2^853021120 is an apocalyptic number.

853021120 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 853021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171895040).

853021120 is an abundant number, since it is smaller than the sum of its proper divisors (1490768960).

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

853021120 is a wasteful number, since it uses less digits than its factorization.

853021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 853021120 is about 29206.5252982959. The cubic root of 853021120 is about 948.3891890121.

Adding to 853021120 its reverse (21120358), we get a palindrome (874141478).

The spelling of 853021120 in words is "eight hundred fifty-three million, twenty-one thousand, one hundred twenty".