668540800 has 96 divisors (see below), whose sum is σ = 1679970600. Its totient is φ = 262809600.

The previous prime is 668540773. The next prime is 668540809. The reversal of 668540800 is 8045866.

668540800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 668540800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668540809) 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, 187030 + ... + 190570.

Almost surely, 2^668540800 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 668540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839985300).

668540800 is an abundant number, since it is smaller than the sum of its proper divisors (1011429800).

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

668540800 is a wasteful number, since it uses less digits than its factorization.

668540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 668540800 is about 25856.1559401238. The cubic root of 668540800 is about 874.3983019805.

The spelling of 668540800 in words is "six hundred sixty-eight million, five hundred forty thousand, eight hundred".