668956288 has 256 divisors, whose sum is σ = 1875363840. Its totient is φ = 229109760.

The previous prime is 668956283. The next prime is 668956297. The reversal of 668956288 is 882659866.

It is not an unprimeable number, because it can be changed into a prime (668956283) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2946831 + ... + 2947057.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^668956288 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 668956288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920).

668956288 is an abundant number, since it is smaller than the sum of its proper divisors (1206407552).

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

668956288 is a wasteful number, since it uses less digits than its factorization.

668956288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 58.

The square root of 668956288 is about 25864.1892971730. The cubic root of 668956288 is about 874.5794062429.

The spelling of 668956288 in words is "six hundred sixty-eight million, nine hundred fifty-six thousand, two hundred eighty-eight".