1140168960 has 360 divisors, whose sum is σ = 4665519936. Its totient is φ = 260444160.

The previous prime is 1140168941. The next prime is 1140168977. The reversal of 1140168960 is 698610411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724975 + ... + 726545.

Almost surely, 2^1140168960 is an apocalyptic number.

1140168960 is a gapful number since it is divisible by the number (10) 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 1140168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332759968).

1140168960 is an abundant number, since it is smaller than the sum of its proper divisors (3525350976).

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

1140168960 is an equidigital number, since it uses as much as digits as its factorization.

1140168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1140168960 is about 33766.3880212261. The cubic root of 1140168960 is about 1044.6955333483.

The spelling of 1140168960 in words is "one billion, one hundred forty million, one hundred sixty-eight thousand, nine hundred sixty".