1183160160 has 288 divisors, whose sum is σ = 4969823040. Its totient is φ = 249606144.

The previous prime is 1183160159. The next prime is 1183160161. The reversal of 1183160160 is 610613811.

It is an interprime number because it is at equal distance from previous prime (1183160159) and next prime (1183160161).

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

It is a super-2 number, since 2×1183160160² = 2799735928422451200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1183160161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126526 + ... + 135554.

It is an arithmetic number, because the mean of its divisors is an integer number (17256330).

Almost surely, 2^1183160160 is an apocalyptic number.

1183160160 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 1183160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484911520).

1183160160 is an abundant number, since it is smaller than the sum of its proper divisors (3786662880).

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

1183160160 is a wasteful number, since it uses less digits than its factorization.

1183160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1183160160 is about 34397.0952261961. The cubic root of 1183160160 is about 1057.6643005453.

Adding to 1183160160 its reverse (610613811), we get a palindrome (1793773971).

The spelling of 1183160160 in words is "one billion, one hundred eighty-three million, one hundred sixty thousand, one hundred sixty".