668965120 has 144 divisors (see below), whose sum is σ = 1728340992. Its totient is φ = 247357440.

The previous prime is 668965111. The next prime is 668965123. The reversal of 668965120 is 21569866.

668965120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×668965120² = 895028663553228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (668965123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912274 + ... + 913006.

It is an arithmetic number, because the mean of its divisors is an integer number (12002368).

Almost surely, 2^668965120 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 668965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864170496).

668965120 is an abundant number, since it is smaller than the sum of its proper divisors (1059375872).

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

668965120 is a wasteful number, since it uses less digits than its factorization.

668965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 668965120 is about 25864.3600346113. The cubic root of 668965120 is about 874.5832551498.

The spelling of 668965120 in words is "six hundred sixty-eight million, nine hundred sixty-five thousand, one hundred twenty".