1084791168 has 192 divisors, whose sum is σ = 3401190000. Its totient is φ = 330559488.

The previous prime is 1084791163. The next prime is 1084791193. The reversal of 1084791168 is 8611974801.

It is a happy number.

1084791168 is a `hidden beast` number, since 10 + 8 + 479 + 1 + 168 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084791163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633898 + ... + 635606.

Almost surely, 2^1084791168 is an apocalyptic number.

1084791168 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 1084791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700595000).

1084791168 is an abundant number, since it is smaller than the sum of its proper divisors (2316398832).

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

1084791168 is a wasteful number, since it uses less digits than its factorization.

1084791168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1084791168 is about 32936.1680831271. The cubic root of 1084791168 is about 1027.5005118366.

The spelling of 1084791168 in words is "one billion, eighty-four million, seven hundred ninety-one thousand, one hundred sixty-eight".