852688 has 20 divisors (see below), whose sum is σ = 1668420. Its totient is φ = 422144.

The previous prime is 852673. The next prime is 852689. The reversal of 852688 is 886258.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 506944 = 588^2 + 712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1998 + ... + 2386.

It is an arithmetic number, because the mean of its divisors is an integer number (83421).

2⁸⁵²⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

852688 is a deficient number, since it is larger than the sum of its proper divisors (815732).

852688 is a wasteful number, since it uses less digits than its factorization.

852688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 852688 is about 923.4110677266. The cubic root of 852688 is about 94.8265718626.

It can be divided in two parts, 852 and 688, that added together give a triangular number (1540 = T₅₅).

The spelling of 852688 in words is "eight hundred fifty-two thousand, six hundred eighty-eight".