1168908800 has 240 divisors, whose sum is σ = 3105336960. Its totient is φ = 435240960.

The previous prime is 1168908751. The next prime is 1168908809. The reversal of 1168908800 is 88098611.

It is not an unprimeable number, because it can be changed into a prime (1168908809) 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, 17446367 + ... + 17446433.

It is an arithmetic number, because the mean of its divisors is an integer number (12938904).

Almost surely, 2^1168908800 is an apocalyptic number.

1168908800 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 1168908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552668480).

1168908800 is an abundant number, since it is smaller than the sum of its proper divisors (1936428160).

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

1168908800 is an equidigital number, since it uses as much as digits as its factorization.

1168908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 1168908800 is about 34189.3082702765. The cubic root of 1168908800 is about 1053.4005547372.

The spelling of 1168908800 in words is "one billion, one hundred sixty-eight million, nine hundred eight thousand, eight hundred".