1168246800 has 720 divisors, whose sum is σ = 5137921152. Its totient is φ = 248832000.

The previous prime is 1168246763. The next prime is 1168246801. The reversal of 1168246800 is 86428611.

1168246800 is a `hidden beast` number, since 116 + 82 + 468 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1168246801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11566750 + ... + 11566850.

Almost surely, 2^1168246800 is an apocalyptic number.

1168246800 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 1168246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568960576).

1168246800 is an abundant number, since it is smaller than the sum of its proper divisors (3969674352).

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

1168246800 is a wasteful number, since it uses less digits than its factorization.

1168246800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1168246800 is about 34179.6255099438. The cubic root of 1168246800 is about 1053.2016561705.

The spelling of 1168246800 in words is "one billion, one hundred sixty-eight million, two hundred forty-six thousand, eight hundred".