6424320 has 144 divisors (see below), whose sum is σ = 23546880. Its totient is φ = 1462272.

The previous prime is 6424309. The next prime is 6424343. The reversal of 6424320 is 234246.

6424320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

6424320 is a nontrivial binomial coefficient, being equal to C(3585, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26761 + ... + 26999.

It is an arithmetic number, because the mean of its divisors is an integer number (163520).

Almost surely, 2^6424320 is an apocalyptic number.

6424320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6424320 is the 3584-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773440).

6424320 is an abundant number, since it is smaller than the sum of its proper divisors (17122560).

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

6424320 is a wasteful number, since it uses less digits than its factorization.

6424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6424320 is about 2534.6242325047. The cubic root of 6424320 is about 185.8984299192.

Adding to 6424320 its reverse (234246), we get a palindrome (6658566).

The spelling of 6424320 in words is "six million, four hundred twenty-four thousand, three hundred twenty".