668064600 has 288 divisors, whose sum is σ = 2635233120. Its totient is φ = 148469760.

The previous prime is 668064599. The next prime is 668064667. The reversal of 668064600 is 6460866.

668064600 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 646 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 465484 + ... + 466916.

It is an arithmetic number, because the mean of its divisors is an integer number (9150115).

Almost surely, 2^668064600 is an apocalyptic number.

668064600 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 668064600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317616560).

668064600 is an abundant number, since it is smaller than the sum of its proper divisors (1967168520).

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

668064600 is a wasteful number, since it uses less digits than its factorization.

668064600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 668064600 is about 25846.9456609480. The cubic root of 668064600 is about 874.1906420667.

The spelling of 668064600 in words is "six hundred sixty-eight million, sixty-four thousand, six hundred".