1168704000 has 240 divisors, whose sum is σ = 4211527320. Its totient is φ = 311500800.

The previous prime is 1168703983. The next prime is 1168704013. The reversal of 1168704000 is 4078611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 740710656 + 427993344 = 27216^2 + 20688^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574986 + ... + 577014.

Almost surely, 2^1168704000 is an apocalyptic number.

1168704000 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 1168704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105763660).

1168704000 is an abundant number, since it is smaller than the sum of its proper divisors (3042823320).

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

1168704000 is an equidigital number, since it uses as much as digits as its factorization.

1168704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1168704000 is about 34186.3130506933. The cubic root of 1168704000 is about 1053.3390303952.

The spelling of 1168704000 in words is "one billion, one hundred sixty-eight million, seven hundred four thousand".