1273890816 has 288 divisors, whose sum is σ = 4119111360. Its totient is φ = 376012800.

The previous prime is 1273890799. The next prime is 1273890841. The reversal of 1273890816 is 6180983721.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1273890816² = 3245595622178291712, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 12367821 + ... + 12367923.

It is an arithmetic number, because the mean of its divisors is an integer number (14302470).

Almost surely, 2^1273890816 is an apocalyptic number.

1273890816 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 1273890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059555680).

1273890816 is an abundant number, since it is smaller than the sum of its proper divisors (2845220544).

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

1273890816 is a wasteful number, since it uses less digits than its factorization.

1273890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1273890816 is about 35691.6070806569. The cubic root of 1273890816 is about 1084.0369081899.

The spelling of 1273890816 in words is "one billion, two hundred seventy-three million, eight hundred ninety thousand, eight hundred sixteen".