852816 has 40 divisors (see below), whose sum is σ = 2236960. Its totient is φ = 279936.

The previous prime is 852809. The next prime is 852827. The reversal of 852816 is 618258.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852816.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5151 + ... + 5313.

It is an arithmetic number, because the mean of its divisors is an integer number (55924).

2⁸⁵²⁸¹⁶ 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 852816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118480).

852816 is an abundant number, since it is smaller than the sum of its proper divisors (1384144).

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

852816 is a wasteful number, since it uses less digits than its factorization.

852816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 852816 is about 923.4803733702. The cubic root of 852816 is about 94.8313165421.

The spelling of 852816 in words is "eight hundred fifty-two thousand, eight hundred sixteen".