1799319168 has 192 divisors, whose sum is σ = 5556470400. Its totient is φ = 556867584.

The previous prime is 1799319167. The next prime is 1799319173. The reversal of 1799319168 is 8619139971.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1799319161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546555 + ... + 1547717.

It is an arithmetic number, because the mean of its divisors is an integer number (28939950).

Almost surely, 2^1799319168 is an apocalyptic number.

1799319168 is a gapful number since it is divisible by the number (18) 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 1799319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778235200).

1799319168 is an abundant number, since it is smaller than the sum of its proper divisors (3757151232).

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

1799319168 is a wasteful number, since it uses less digits than its factorization.

1799319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1264 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The square root of 1799319168 is about 42418.3824302625. The cubic root of 1799319168 is about 1216.2870109684.

The spelling of 1799319168 in words is "one billion, seven hundred ninety-nine million, three hundred nineteen thousand, one hundred sixty-eight".