6834432 has 72 divisors (see below), whose sum is σ = 19867680. Its totient is φ = 2068480.

The previous prime is 6834419. The next prime is 6834439. The reversal of 6834432 is 2344386.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6² + 8⁷ + 3⁴ + 4⁷ + 4¹¹ + 3⁷ + 2¹⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 6834432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6834439) 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, 8044 + ... + 8852.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 2^6834432 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 6834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933840).

6834432 is an abundant number, since it is smaller than the sum of its proper divisors (13033248).

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

6834432 is a wasteful number, since it uses less digits than its factorization.

6834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 825 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 6834432 is about 2614.2746603982. The cubic root of 6834432 is about 189.7728772707.

It can be divided in two parts, 683 and 4432, that added together give a palindrome (5115).

The spelling of 6834432 in words is "six million, eight hundred thirty-four thousand, four hundred thirty-two".