6484320 has 192 divisors, whose sum is σ = 24192000. Its totient is φ = 1617408.

The previous prime is 6484319. The next prime is 6484333. The reversal of 6484320 is 234846.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82041 + ... + 82119.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 2^6484320 is an apocalyptic number.

6484320 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 6484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

6484320 is an abundant number, since it is smaller than the sum of its proper divisors (17707680).

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

6484320 is a wasteful number, since it uses less digits than its factorization.

6484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

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

The square root of 6484320 is about 2546.4327990348. The cubic root of 6484320 is about 186.4753709208.

The spelling of 6484320 in words is "six million, four hundred eighty-four thousand, three hundred twenty".