1168448000 has 80 divisors (see below), whose sum is σ = 2913757704. Its totient is φ = 467353600.

The previous prime is 1168447967. The next prime is 1168448011. The reversal of 1168448000 is 8448611.

It can be written as a sum of positive squares in 4 ways, for example, as 241367296 + 927080704 = 15536^2 + 30448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54872 + ... + 73128.

Almost surely, 2^1168448000 is an apocalyptic number.

1168448000 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 1168448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456878852).

1168448000 is an abundant number, since it is smaller than the sum of its proper divisors (1745309704).

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

1168448000 is an frugal number, since it uses more digits than its factorization.

1168448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18290 (or 18264 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1168448000 is about 34182.5686571387. The cubic root of 1168448000 is about 1053.2621148594.

The spelling of 1168448000 in words is "one billion, one hundred sixty-eight million, four hundred forty-eight thousand".