6556500 has 144 divisors (see below), whose sum is σ = 21805056. Its totient is φ = 1656000.

The previous prime is 6556489. The next prime is 6556507. The reversal of 6556500 is 56556.

6556500 is a `hidden beast` number, since 6 + 5 + 5 + 650 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6556507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139477 + ... + 139523.

It is an arithmetic number, because the mean of its divisors is an integer number (151424).

Almost surely, 2^6556500 is an apocalyptic number.

6556500 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 6556500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10902528).

6556500 is an abundant number, since it is smaller than the sum of its proper divisors (15248556).

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

6556500 is a wasteful number, since it uses less digits than its factorization.

6556500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 6556500 is about 2560.5663436045. The cubic root of 6556500 is about 187.1647342072.

It can be divided in two parts, 6556 and 500, that added together give a square (7056 = 84²).

The spelling of 6556500 in words is "six million, five hundred fifty-six thousand, five hundred".