853056344 has 64 divisors (see below), whose sum is σ = 1905120000. Its totient is φ = 350356608.

The previous prime is 853056343. The next prime is 853056353. The reversal of 853056344 is 443650358.

853056344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 853056298 and 853056307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853056343) 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, 223847 + ... + 227625.

It is an arithmetic number, because the mean of its divisors is an integer number (29767500).

Almost surely, 2^853056344 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 853056344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560000).

853056344 is an abundant number, since it is smaller than the sum of its proper divisors (1052063656).

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

853056344 is a wasteful number, since it uses less digits than its factorization.

853056344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 853056344 is about 29207.1283080004. The cubic root of 853056344 is about 948.4022428511.

The spelling of 853056344 in words is "eight hundred fifty-three million, fifty-six thousand, three hundred forty-four".