668127600 has 180 divisors, whose sum is σ = 2649915216. Its totient is φ = 152709120.

The previous prime is 668127587. The next prime is 668127631. The reversal of 668127600 is 6721866.

It is a happy number.

668127600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11944 + ... + 38456.

Almost surely, 2^668127600 is an apocalyptic number.

668127600 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 668127600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324957608).

668127600 is an abundant number, since it is smaller than the sum of its proper divisors (1981787616).

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

668127600 is a wasteful number, since it uses less digits than its factorization.

668127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26544 (or 26530 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 668127600 is about 25848.1643448814. The cubic root of 668127600 is about 874.2181205867.

The spelling of 668127600 in words is "six hundred sixty-eight million, one hundred twenty-seven thousand, six hundred".