668889000 has 192 divisors, whose sum is σ = 2435181840. Its totient is φ = 164620800.

The previous prime is 668888933. The next prime is 668889019. The reversal of 668889000 is 988866.

It can be written as a sum of positive squares in 8 ways, for example, as 459684 + 668429316 = 678^2 + 25854^2 .

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114142 + ... + 119858.

Almost surely, 2^668889000 is an apocalyptic number.

668889000 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 668889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217590920).

668889000 is an abundant number, since it is smaller than the sum of its proper divisors (1766292840).

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

668889000 is a wasteful number, since it uses less digits than its factorization.

668889000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 668889000 is about 25862.8884697746. Note that the first 3 decimals coincide. The cubic root of 668889000 is about 874.5500816202.

The spelling of 668889000 in words is "six hundred sixty-eight million, eight hundred eighty-nine thousand".