1166613168 has 240 divisors, whose sum is σ = 3755652480. Its totient is φ = 310044672.

The previous prime is 1166613143. The next prime is 1166613169. The reversal of 1166613168 is 8613166611.

It is a super-4 number, since 4×1166613168⁴ (a number of 37 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (1166613169) 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, 6517303 + ... + 6517481.

It is an arithmetic number, because the mean of its divisors is an integer number (15648552).

Almost surely, 2^1166613168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166613168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877826240).

1166613168 is an abundant number, since it is smaller than the sum of its proper divisors (2589039312).

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

1166613168 is a wasteful number, since it uses less digits than its factorization.

1166613168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 1166613168 is about 34155.7194039300. The cubic root of 1166613168 is about 1052.7105080864.

Adding to 1166613168 its reverse (8613166611), we get a palindrome (9779779779).

The spelling of 1166613168 in words is "one billion, one hundred sixty-six million, six hundred thirteen thousand, one hundred sixty-eight".