1166368320 has 168 divisors, whose sum is σ = 4320561336. Its totient is φ = 287096832.

The previous prime is 1166368277. The next prime is 1166368327. The reversal of 1166368320 is 238636611.

1166368320 is a `hidden beast` number, since 1 + 16 + 636 + 8 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 1166359104 = 96^2 + 34152^2 .

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 (1166368327) 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, 21864 + ... + 53016.

It is an arithmetic number, because the mean of its divisors is an integer number (25717627).

Almost surely, 2^1166368320 is an apocalyptic number.

1166368320 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 1166368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160280668).

1166368320 is an abundant number, since it is smaller than the sum of its proper divisors (3154193016).

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

1166368320 is a wasteful number, since it uses less digits than its factorization.

1166368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31189 (or 31176 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1166368320 is about 34152.1349259457. The cubic root of 1166368320 is about 1052.6368555385.

The spelling of 1166368320 in words is "one billion, one hundred sixty-six million, three hundred sixty-eight thousand, three hundred twenty".