1968559866 has 192 divisors, whose sum is σ = 5658132480. Its totient is φ = 480090240.

The previous prime is 1968559843. The next prime is 1968559871. The reversal of 1968559866 is 6689558691.

1968559866 is a `hidden beast` number, since 19 + 6 + 8 + 559 + 8 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337511 + ... + 1338981.

It is an arithmetic number, because the mean of its divisors is an integer number (29469440).

Almost surely, 2^1968559866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968559866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829066240).

1968559866 is an abundant number, since it is smaller than the sum of its proper divisors (3689572614).

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

1968559866 is a wasteful number, since it uses less digits than its factorization.

1968559866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1558 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 1968559866 is about 44368.4557540602. The cubic root of 1968559866 is about 1253.2841354204.

The spelling of 1968559866 in words is "one billion, nine hundred sixty-eight million, five hundred fifty-nine thousand, eight hundred sixty-six".