842384 has 40 divisors (see below), whose sum is σ = 1830240. Its totient is φ = 373248.

The previous prime is 842383. The next prime is 842393. The reversal of 842384 is 483248.

It is a super-2 number, since 2×842384² = 1419221606912, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842384.

It is not an unprimeable number, because it can be changed into a prime (842383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5087 + ... + 5249.

It is an arithmetic number, because the mean of its divisors is an integer number (45756).

2⁸⁴²³⁸⁴ 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 842384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915120).

842384 is an abundant number, since it is smaller than the sum of its proper divisors (987856).

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

842384 is a wasteful number, since it uses less digits than its factorization.

842384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 842384 is about 917.8147961326. The cubic root of 842384 is about 94.4430570602.

The spelling of 842384 in words is "eight hundred forty-two thousand, three hundred eighty-four".