668681200 has 120 divisors (see below), whose sum is σ = 1774636416. Its totient is φ = 240096000.

The previous prime is 668681147. The next prime is 668681243. The reversal of 668681200 is 2186866.

It is a self number, because there is not a number n which added to its sum of digits gives 668681200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364285 + ... + 366115.

Almost surely, 2^668681200 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 668681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887318208).

668681200 is an abundant number, since it is smaller than the sum of its proper divisors (1105955216).

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

668681200 is a wasteful number, since it uses less digits than its factorization.

668681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 668681200 is about 25858.8708183478. The cubic root of 668681200 is about 874.4595083814.

The spelling of 668681200 in words is "six hundred sixty-eight million, six hundred eighty-one thousand, two hundred".