1289878016 has 160 divisors (see below), whose sum is σ = 3090016512. Its totient is φ = 526417920.

The previous prime is 1289877991. The next prime is 1289878021. The reversal of 1289878016 is 6108789821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9415100 + ... + 9415236.

Almost surely, 2^1289878016 is an apocalyptic number.

1289878016 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 1289878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545008256).

1289878016 is an abundant number, since it is smaller than the sum of its proper divisors (1800138496).

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

1289878016 is an equidigital number, since it uses as much as digits as its factorization.

1289878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 50.

The square root of 1289878016 is about 35914.8717942860. The cubic root of 1289878016 is about 1088.5529196517.

The spelling of 1289878016 in words is "one billion, two hundred eighty-nine million, eight hundred seventy-eight thousand, sixteen".