6403320 has 288 divisors, whose sum is σ = 27291600. Its totient is φ = 1330560.

The previous prime is 6403303. The next prime is 6403321. The reversal of 6403320 is 233046.

6403320 is a `hidden beast` number, since 640 + 3 + 3 + 20 = 666.

6403320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6403293 and 6403302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6403321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 582115 + ... + 582125.

Almost surely, 2^6403320 is an apocalyptic number.

6403320 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 6403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645800).

6403320 is an abundant number, since it is smaller than the sum of its proper divisors (20888280).

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

6403320 is a wasteful number, since it uses less digits than its factorization.

6403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 6403320 is about 2530.4782156739. The cubic root of 6403320 is about 185.6956521175.

Adding to 6403320 its reverse (233046), we get a palindrome (6636366).

The spelling of 6403320 in words is "six million, four hundred three thousand, three hundred twenty".