6552800 has 36 divisors (see below), whose sum is σ = 15998976. Its totient is φ = 2620800.

The previous prime is 6552797. The next prime is 6552817. The reversal of 6552800 is 82556.

6552800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6552800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3296 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (444416).

Almost surely, 2^6552800 is an apocalyptic number.

It is an amenable number.

6552800 is an abundant number, since it is smaller than the sum of its proper divisors (9446176).

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

6552800 is a wasteful number, since it uses less digits than its factorization.

6552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 6552800 is about 2559.8437452313. The cubic root of 6552800 is about 187.1295203062.

The spelling of 6552800 in words is "six million, five hundred fifty-two thousand, eight hundred".