668883600 has 720 divisors, whose sum is σ = 3070279680. Its totient is φ = 130636800.

The previous prime is 668883587. The next prime is 668883601. The reversal of 668883600 is 6388866.

668883600 is a nontrivial binomial coefficient, being equal to C(36576, 2).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (668883601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5266737 + ... + 5266863.

Almost surely, 2^668883600 is an apocalyptic number.

668883600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

668883600 is the 36575-th triangular number and also the 18288-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535139840).

668883600 is an abundant number, since it is smaller than the sum of its proper divisors (2401396080).

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

668883600 is a wasteful number, since it uses less digits than its factorization.

668883600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 668883600 is about 25862.7840728720. The cubic root of 668883600 is about 874.5477281738.

The spelling of 668883600 in words is "six hundred sixty-eight million, eight hundred eighty-three thousand, six hundred".