1289967616 has 192 divisors, whose sum is σ = 3207859200. Its totient is φ = 506068992.

The previous prime is 1289967607. The next prime is 1289967709. The reversal of 1289967616 is 6167699821.

Its product of digits (1959552) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16328665 + ... + 16328743.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^1289967616 is an apocalyptic number.

1289967616 is a gapful number since it is divisible by the number (16) 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 1289967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

1289967616 is an abundant number, since it is smaller than the sum of its proper divisors (1917891584).

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

1289967616 is an equidigital number, since it uses as much as digits as its factorization.

1289967616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 55.

The square root of 1289967616 is about 35916.1191667474. The cubic root of 1289967616 is about 1088.5781241237.

The spelling of 1289967616 in words is "one billion, two hundred eighty-nine million, nine hundred sixty-seven thousand, six hundred sixteen".