668491200 has 252 divisors, whose sum is σ = 2559459448. Its totient is φ = 164505600.

The previous prime is 668491157. The next prime is 668491249. The reversal of 668491200 is 2194866.

668491200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185415 + ... + 188985.

Almost surely, 2^668491200 is an apocalyptic number.

668491200 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 668491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279729724).

668491200 is an abundant number, since it is smaller than the sum of its proper divisors (1890968248).

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

668491200 is a wasteful number, since it uses less digits than its factorization.

668491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3594 counting only the distinct ones).

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

The square root of 668491200 is about 25855.1967697018. The cubic root of 668491200 is about 874.3766771580.

The spelling of 668491200 in words is "six hundred sixty-eight million, four hundred ninety-one thousand, two hundred".