6556320 has 144 divisors (see below), whose sum is σ = 23292360. Its totient is φ = 1677312.

The previous prime is 6556301. The next prime is 6556331. The reversal of 6556320 is 236556.

6556320 is a `hidden beast` number, since 655 + 6 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 1838736 = 2172^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41682 + ... + 41838.

Almost surely, 2^6556320 is an apocalyptic number.

6556320 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 6556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646180).

6556320 is an abundant number, since it is smaller than the sum of its proper divisors (16736040).

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

6556320 is a wasteful number, since it uses less digits than its factorization.

6556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 6556320 is about 2560.5311948891. The cubic root of 6556320 is about 187.1630214051.

The spelling of 6556320 in words is "six million, five hundred fifty-six thousand, three hundred twenty".