6660800 has 84 divisors (see below), whose sum is σ = 17196816. Its totient is φ = 2534400.

The previous prime is 6660799. The next prime is 6660809. The reversal of 6660800 is 80666.

It is a self number, because there is not a number n which added to its sum of digits gives 6660800.

It is not an unprimeable number, because it can be changed into a prime (6660809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36710 + ... + 36890.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

Almost surely, 2^6660800 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 6660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598408).

6660800 is an abundant number, since it is smaller than the sum of its proper divisors (10536016).

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

6660800 is a wasteful number, since it uses less digits than its factorization.

6660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 6660800 is about 2580.8525723102. The cubic root of 6660800 is about 188.1519821271.

The spelling of 6660800 in words is "six million, six hundred sixty thousand, eight hundred".