668941200 has 240 divisors, whose sum is σ = 2485376640. Its totient is φ = 170565120.

The previous prime is 668941187. The next prime is 668941201. The reversal of 668941200 is 2149866.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668941201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247054 + ... + 249746.

It is an arithmetic number, because the mean of its divisors is an integer number (10355736).

Almost surely, 2^668941200 is an apocalyptic number.

668941200 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 668941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242688320).

668941200 is an abundant number, since it is smaller than the sum of its proper divisors (1816435440).

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

668941200 is a wasteful number, since it uses less digits than its factorization.

668941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 668941200 is about 25863.8976181085. The cubic root of 668941200 is about 874.5728309487.

The spelling of 668941200 in words is "six hundred sixty-eight million, nine hundred forty-one thousand, two hundred".