852048 has 60 divisors (see below), whose sum is σ = 2448628. Its totient is φ = 276480.

The previous prime is 852037. The next prime is 852079. The reversal of 852048 is 840258.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 685584 = 408^2 + 828^2 .

It is a congruent number.

It is an unprimeable number.

852048 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 11 ways as a sum of consecutive naturals, for example, 8736 + ... + 8832.

2⁸⁵²⁰⁴⁸ 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 852048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224314).

852048 is an abundant number, since it is smaller than the sum of its proper divisors (1596580).

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

852048 is a wasteful number, since it uses less digits than its factorization.

852048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 852048 is about 923.0644614543. The cubic root of 852048 is about 94.8028413398.

The spelling of 852048 in words is "eight hundred fifty-two thousand, forty-eight".