6620800 has 48 divisors (see below), whose sum is σ = 16363350. Its totient is φ = 2647040.

The previous prime is 6620791. The next prime is 6620807. The reversal of 6620800 is 80266.

It can be written as a sum of positive squares in 3 ways, for example, as 3717184 + 2903616 = 1928^2 + 1704^2 .

It is not an unprimeable number, because it can be changed into a prime (6620807) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2166 + ... + 4234.

Almost surely, 2^6620800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181675).

6620800 is an abundant number, since it is smaller than the sum of its proper divisors (9742550).

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

6620800 is a wasteful number, since it uses less digits than its factorization.

6620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6620800 is about 2573.0915257721. The cubic root of 6620800 is about 187.7745902640.

The spelling of 6620800 in words is "six million, six hundred twenty thousand, eight hundred".