839424 has 36 divisors (see below), whose sum is σ = 2236136. Its totient is φ = 279552.

The previous prime is 839413. The next prime is 839429. The reversal of 839424 is 424938.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 839391 and 839400.

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 839424.

It is not an unprimeable number, because it can be changed into a prime (839429) 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, 222 + ... + 1314.

839424 is a Friedman number, since it can be written as 8*(9^4-3)*2^4, using all its digits and the basic arithmetic operations.

2⁸³⁹⁴²⁴ 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 839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118068).

839424 is an abundant number, since it is smaller than the sum of its proper divisors (1396712).

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

839424 is a wasteful number, since it uses less digits than its factorization.

839424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1098 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 839424 is about 916.2008513421. The cubic root of 839424 is about 94.3323080739.

The spelling of 839424 in words is "eight hundred thirty-nine thousand, four hundred twenty-four".