6558720 has 176 divisors, whose sum is σ = 24367488. Its totient is φ = 1474560.

The previous prime is 6558707. The next prime is 6558733. The reversal of 6558720 is 278556.

It is a happy number.

It is a Cunningham number, because it is equal to 2561²-1.

It is an interprime number because it is at equal distance from previous prime (6558707) and next prime (6558733).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107490 + ... + 107550.

Almost surely, 2^6558720 is an apocalyptic number.

6558720 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 6558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183744).

6558720 is an abundant number, since it is smaller than the sum of its proper divisors (17808768).

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

6558720 is a wasteful number, since it uses less digits than its factorization.

6558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 6558720 is about 2560.9998047638. Note that the first 3 decimals coincide. The cubic root of 6558720 is about 187.1858561890.

It can be divided in two parts, 65 and 58720, that added together give a palindrome (58785).

The spelling of 6558720 in words is "six million, five hundred fifty-eight thousand, seven hundred twenty".