1168840800 has 288 divisors, whose sum is σ = 4311286560. Its totient is φ = 305510400.

The previous prime is 1168840769. The next prime is 1168840801. The reversal of 1168840800 is 80488611.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168840801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144290 + ... + 1145310.

It is an arithmetic number, because the mean of its divisors is an integer number (14969745).

Almost surely, 2^1168840800 is an apocalyptic number.

1168840800 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 1168840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155643280).

1168840800 is an abundant number, since it is smaller than the sum of its proper divisors (3142445760).

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

1168840800 is a wasteful number, since it uses less digits than its factorization.

1168840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1168840800 is about 34188.3137928737. The cubic root of 1168840800 is about 1053.3801275300.

The spelling of 1168840800 in words is "one billion, one hundred sixty-eight million, eight hundred forty thousand, eight hundred".