6424 has 16 divisors (see below), whose sum is σ = 13320. Its totient is φ = 2880.

The previous prime is 6421. The next prime is 6427. The reversal of 6424 is 4246.

6424 = 12² + 13² + ... + 27².

It is an interprime number because it is at equal distance from previous prime (6421) and next prime (6427).

It is a d-powerful number, because it can be written as 6³ + 2¹¹ + 4³ + 4⁶ .

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6398 and 6407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52 + ... + 124.

2⁶⁴²⁴ 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 6424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660).

6424 is an abundant number, since it is smaller than the sum of its proper divisors (6896).

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

6424 is a wasteful number, since it uses less digits than its factorization.

6424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 6424 is about 80.1498596381. The cubic root of 6424 is about 18.5895343290.

It can be divided in two parts, 642 and 4, that added together give a palindrome (646).

The spelling of 6424 in words is "six thousand, four hundred twenty-four".