668887560 has 192 divisors, whose sum is σ = 2417014080. Its totient is φ = 159045120.

The previous prime is 668887529. The next prime is 668887561. The reversal of 668887560 is 65788866.

668887560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 668887497 and 668887506.

It is not an unprimeable number, because it can be changed into a prime (668887561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208287 + ... + 211473.

It is an arithmetic number, because the mean of its divisors is an integer number (12588615).

Almost surely, 2^668887560 is an apocalyptic number.

668887560 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 668887560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208507040).

668887560 is an abundant number, since it is smaller than the sum of its proper divisors (1748126520).

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

668887560 is a wasteful number, since it uses less digits than its factorization.

668887560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 668887560 is about 25862.8606306418. The cubic root of 668887560 is about 874.5494540357.

The spelling of 668887560 in words is "six hundred sixty-eight million, eight hundred eighty-seven thousand, five hundred sixty".