852538644 has 72 divisors (see below), whose sum is σ = 2285756928. Its totient is φ = 266999040.

The previous prime is 852538633. The next prime is 852538649. The reversal of 852538644 is 446835258.

852538644 is a `hidden beast` number, since 8 + 52 + 538 + 64 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 852538644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852538649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578829 + ... + 580299.

It is an arithmetic number, because the mean of its divisors is an integer number (31746624).

Almost surely, 2^852538644 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 852538644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142878464).

852538644 is an abundant number, since it is smaller than the sum of its proper divisors (1433218284).

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

852538644 is a wasteful number, since it uses less digits than its factorization.

852538644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2440 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 852538644 is about 29198.2644004742. The cubic root of 852538644 is about 948.2103496265.

The spelling of 852538644 in words is "eight hundred fifty-two million, five hundred thirty-eight thousand, six hundred forty-four".