6832320 has 112 divisors (see below), whose sum is σ = 23701248. Its totient is φ = 1653760.

The previous prime is 6832303. The next prime is 6832321. The reversal of 6832320 is 232386.

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

It is not an unprimeable number, because it can be changed into a prime (6832321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10237 + ... + 10883.

Almost surely, 2^6832320 is an apocalyptic number.

6832320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850624).

6832320 is an abundant number, since it is smaller than the sum of its proper divisors (16868928).

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

6832320 is a wasteful number, since it uses less digits than its factorization.

6832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6832320 is about 2613.8706930527. The cubic root of 6832320 is about 189.7533271647.

It can be divided in two parts, 683 and 2320, that added together give a palindrome (3003).

The spelling of 6832320 in words is "six million, eight hundred thirty-two thousand, three hundred twenty".