1668438600 has 192 divisors, whose sum is σ = 5374894080. Its totient is φ = 427680000.

The previous prime is 1668438553. The next prime is 1668438617. The reversal of 1668438600 is 68348661.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5040435 + ... + 5040765.

It is an arithmetic number, because the mean of its divisors is an integer number (27994240).

Almost surely, 2^1668438600 is an apocalyptic number.

1668438600 is a gapful number since it is divisible by the number (10) 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 1668438600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687447040).

1668438600 is an abundant number, since it is smaller than the sum of its proper divisors (3706455480).

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

1668438600 is a wasteful number, since it uses less digits than its factorization.

1668438600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1668438600 is about 40846.5249439900. The cubic root of 1668438600 is about 1186.0511245352.

The spelling of 1668438600 in words is "one billion, six hundred sixty-eight million, four hundred thirty-eight thousand, six hundred".