1140645168 has 120 divisors (see below), whose sum is σ = 3556491120. Its totient is φ = 338849280.

The previous prime is 1140645137. The next prime is 1140645193. The reversal of 1140645168 is 8615460411.

1140645168 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 645 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 43783 + ... + 64793.

It is an arithmetic number, because the mean of its divisors is an integer number (29637426).

Almost surely, 2^1140645168 is an apocalyptic number.

1140645168 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 1140645168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778245560).

1140645168 is an abundant number, since it is smaller than the sum of its proper divisors (2415845952).

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

1140645168 is a wasteful number, since it uses less digits than its factorization.

1140645168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21067 (or 21058 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1140645168 is about 33773.4387944136. The cubic root of 1140645168 is about 1044.8409571531.

The spelling of 1140645168 in words is "one billion, one hundred forty million, six hundred forty-five thousand, one hundred sixty-eight".