668144200 has 96 divisors (see below), whose sum is σ = 1685282760. Its totient is φ = 245350400.

The previous prime is 668144173. The next prime is 668144203. The reversal of 668144200 is 2441866.

It can be written as a sum of positive squares in 12 ways, for example, as 66227044 + 601917156 = 8138^2 + 24534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668144203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137004 + ... + 141796.

Almost surely, 2^668144200 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 668144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842641380).

668144200 is an abundant number, since it is smaller than the sum of its proper divisors (1017138560).

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

668144200 is a wasteful number, since it uses less digits than its factorization.

668144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 668144200 is about 25848.4854488614. The cubic root of 668144200 is about 874.2253606711.

The spelling of 668144200 in words is "six hundred sixty-eight million, one hundred forty-four thousand, two hundred".