842208 has 48 divisors (see below), whose sum is σ = 2290176. Its totient is φ = 270720.

The previous prime is 842203. The next prime is 842209. The reversal of 842208 is 802248.

842208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842203) by changing a digit.

842208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2835 + ... + 3117.

It is an arithmetic number, because the mean of its divisors is an integer number (47712).

2⁸⁴²²⁰⁸ 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 842208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145088).

842208 is an abundant number, since it is smaller than the sum of its proper divisors (1447968).

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

842208 is a wasteful number, since it uses less digits than its factorization.

842208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 842208 is about 917.7189112141. The cubic root of 842208 is about 94.4364792462.

The spelling of 842208 in words is "eight hundred forty-two thousand, two hundred eight".