668034300 has 144 divisors (see below), whose sum is σ = 2047368960. Its totient is φ = 167708160.

The previous prime is 668034271. The next prime is 668034317. The reversal of 668034300 is 3430866.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1327849 + ... + 1328351.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^668034300 is an apocalyptic number.

668034300 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 668034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

668034300 is an abundant number, since it is smaller than the sum of its proper divisors (1379334660).

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

668034300 is a wasteful number, since it uses less digits than its factorization.

668034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 668034300 is about 25846.3595115444. The cubic root of 668034300 is about 874.1774255919.

The spelling of 668034300 in words is "six hundred sixty-eight million, thirty-four thousand, three hundred".