853328512 has 64 divisors (see below), whose sum is σ = 1738404360. Its totient is φ = 417116160.

The previous prime is 853328503. The next prime is 853328527. The reversal of 853328512 is 215823358.

It can be written as a sum of positive squares in 4 ways, for example, as 725548096 + 127780416 = 26936^2 + 11304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2287558 + ... + 2287930.

Almost surely, 2^853328512 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 853328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869202180).

853328512 is an abundant number, since it is smaller than the sum of its proper divisors (885075848).

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

853328512 is a wasteful number, since it uses less digits than its factorization.

853328512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 853328512 is about 29211.7872099603. The cubic root of 853328512 is about 948.5030948431.

The spelling of 853328512 in words is "eight hundred fifty-three million, three hundred twenty-eight thousand, five hundred twelve".