842816 has 28 divisors (see below), whose sum is σ = 1802892. Its totient is φ = 388608.

The previous prime is 842813. The next prime is 842819. The reversal of 842816 is 618248.

It is an interprime number because it is at equal distance from previous prime (842813) and next prime (842819).

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 802816 = 200^2 + 896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 326 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (64389).

2⁸⁴²⁸¹⁶ 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 842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901446).

842816 is an abundant number, since it is smaller than the sum of its proper divisors (960076).

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

842816 is a wasteful number, since it uses less digits than its factorization.

842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1028 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 842816 is about 918.0501075649. The cubic root of 842816 is about 94.4591987202.

It can be divided in two parts, 8 and 42816, that added together give a palindrome (42824).

The spelling of 842816 in words is "eight hundred forty-two thousand, eight hundred sixteen".