852544 has 56 divisors (see below), whose sum is σ = 2121408. Its totient is φ = 330240.

The previous prime is 852521. The next prime is 852557. The reversal of 852544 is 445258.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

852544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4842 + ... + 5014.

2⁸⁵²⁵⁴⁴ 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 852544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060704).

852544 is an abundant number, since it is smaller than the sum of its proper divisors (1268864).

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

852544 is a wasteful number, since it uses less digits than its factorization.

852544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 852544 is about 923.3330926594. Note that the first 3 decimals coincide. The cubic root of 852544 is about 94.8212335305.

It can be divided in two parts, 85254 and 4, that added together give a palindrome (85258).

The spelling of 852544 in words is "eight hundred fifty-two thousand, five hundred forty-four".