6448320 has 84 divisors (see below), whose sum is σ = 22189440. Its totient is φ = 1718784.

The previous prime is 6448319. The next prime is 6448327. The reversal of 6448320 is 238446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1761 + ... + 3999.

It is an arithmetic number, because the mean of its divisors is an integer number (264160).

Almost surely, 2^6448320 is an apocalyptic number.

6448320 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 6448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11094720).

6448320 is an abundant number, since it is smaller than the sum of its proper divisors (15741120).

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

6448320 is a wasteful number, since it uses less digits than its factorization.

6448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6448320 is about 2539.3542486231. The cubic root of 6448320 is about 186.1296356073.

It can be divided in two parts, 64 and 48320, that added together give a palindrome (48384).

The spelling of 6448320 in words is "six million, four hundred forty-eight thousand, three hundred twenty".