668812200 has 192 divisors, whose sum is σ = 2410560000. Its totient is φ = 150224640.

The previous prime is 668812171. The next prime is 668812229. The reversal of 668812200 is 2218866.

It is an interprime number because it is at equal distance from previous prime (668812171) and next prime (668812229).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246451 + ... + 249149.

It is an arithmetic number, because the mean of its divisors is an integer number (12555000).

Almost surely, 2^668812200 is an apocalyptic number.

668812200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668812200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205280000).

668812200 is an abundant number, since it is smaller than the sum of its proper divisors (1741747800).

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

668812200 is a wasteful number, since it uses less digits than its factorization.

668812200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 668812200 is about 25861.4036742014. The cubic root of 668812200 is about 874.5166091920.

The spelling of 668812200 in words is "six hundred sixty-eight million, eight hundred twelve thousand, two hundred".