668593800 has 288 divisors, whose sum is σ = 2623046400. Its totient is φ = 149437440.

The previous prime is 668593789. The next prime is 668593813. The reversal of 668593800 is 8395866.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 591636 + ... + 592764.

It is an arithmetic number, because the mean of its divisors is an integer number (9107800).

Almost surely, 2^668593800 is an apocalyptic number.

668593800 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 668593800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311523200).

668593800 is an abundant number, since it is smaller than the sum of its proper divisors (1954452600).

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

668593800 is a wasteful number, since it uses less digits than its factorization.

668593800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 668593800 is about 25857.1808208088. The cubic root of 668593800 is about 874.4214079677.

The spelling of 668593800 in words is "six hundred sixty-eight million, five hundred ninety-three thousand, eight hundred".