842304 has 56 divisors (see below), whose sum is σ = 2304288. Its totient is φ = 271360.

The previous prime is 842293. The next prime is 842311. The reversal of 842304 is 403248.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7819 + ... + 7925.

It is an arithmetic number, because the mean of its divisors is an integer number (41148).

2⁸⁴²³⁰⁴ 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 842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144).

842304 is an abundant number, since it is smaller than the sum of its proper divisors (1461984).

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

842304 is a wasteful number, since it uses less digits than its factorization.

842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 842304 is about 917.7712133206. The cubic root of 842304 is about 94.4400672584.

The spelling of 842304 in words is "eight hundred forty-two thousand, three hundred four".