1009960866 has 64 divisors (see below), whose sum is σ = 2396528640. Its totient is φ = 314511120.

The previous prime is 1009960829. The next prime is 1009960901. The reversal of 1009960866 is 6680699001.

1009960866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43951 + ... + 62861.

It is an arithmetic number, because the mean of its divisors is an integer number (37445760).

Almost surely, 2^1009960866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009960866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198264320).

1009960866 is an abundant number, since it is smaller than the sum of its proper divisors (1386567774).

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

1009960866 is a wasteful number, since it uses less digits than its factorization.

1009960866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18988 (or 18982 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1009960866 is about 31779.8814661100. The cubic root of 1009960866 is about 1003.3093249542.

The spelling of 1009960866 in words is "one billion, nine million, nine hundred sixty thousand, eight hundred sixty-six".