668288600 has 96 divisors (see below), whose sum is σ = 1781002080. Its totient is φ = 228449280.

The previous prime is 668288591. The next prime is 668288609. The reversal of 668288600 is 6882866.

668288600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (668288591) and next prime (668288609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668288609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779372 + ... + 780228.

It is an arithmetic number, because the mean of its divisors is an integer number (18552105).

Almost surely, 2^668288600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668288600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890501040).

668288600 is an abundant number, since it is smaller than the sum of its proper divisors (1112713480).

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

668288600 is a wasteful number, since it uses less digits than its factorization.

668288600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 668288600 is about 25851.2784983644. The cubic root of 668288600 is about 874.2883356241.

The spelling of 668288600 in words is "six hundred sixty-eight million, two hundred eighty-eight thousand, six hundred".