6400320 has 112 divisors (see below), whose sum is σ = 20848320. Its totient is φ = 1662976.

The previous prime is 6400259. The next prime is 6400349. The reversal of 6400320 is 230046.

6400320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6400320² = 81928192204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6400320.

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, 56584 + ... + 56696.

Almost surely, 2^6400320 is an apocalyptic number.

6400320 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 6400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424160).

6400320 is an abundant number, since it is smaller than the sum of its proper divisors (14448000).

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

6400320 is a wasteful number, since it uses less digits than its factorization.

6400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 6400320 is about 2529.8853728974. The cubic root of 6400320 is about 185.6666476855. Note that the first 4 decimals are identical.

Adding to 6400320 its reverse (230046), we get a palindrome (6630366).

The spelling of 6400320 in words is "six million, four hundred thousand, three hundred twenty".