668768100 has 576 divisors, whose sum is σ = 2771822592. Its totient is φ = 119808000.

The previous prime is 668768077. The next prime is 668768129. The reversal of 668768100 is 1867866.

It is a super-2 number, since 2×668768100² = 894501543155220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 5105035 + ... + 5105165.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^668768100 is an apocalyptic number.

668768100 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 668768100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385911296).

668768100 is an abundant number, since it is smaller than the sum of its proper divisors (2103054492).

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

668768100 is a wasteful number, since it uses less digits than its factorization.

668768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 668768100 is about 25860.5510382126. The cubic root of 668768100 is about 874.4973875380.

The spelling of 668768100 in words is "six hundred sixty-eight million, seven hundred sixty-eight thousand, one hundred".