1181516180 has 72 divisors (see below), whose sum is σ = 2714111064. Its totient is φ = 431808000.

The previous prime is 1181516143. The next prime is 1181516213. The reversal of 1181516180 is 816151811.

It can be written as a sum of positive squares in 12 ways, for example, as 517835536 + 663680644 = 22756^2 + 25762^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339650 + ... + 343110.

It is an arithmetic number, because the mean of its divisors is an integer number (37695987).

Almost surely, 2^1181516180 is an apocalyptic number.

1181516180 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 1181516180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357055532).

1181516180 is an abundant number, since it is smaller than the sum of its proper divisors (1532594884).

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

1181516180 is a wasteful number, since it uses less digits than its factorization.

1181516180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 32.

The square root of 1181516180 is about 34373.1898432485. The cubic root of 1181516180 is about 1057.1742049037.

Adding to 1181516180 its reverse (816151811), we get a palindrome (1997667991).

The spelling of 1181516180 in words is "one billion, one hundred eighty-one million, five hundred sixteen thousand, one hundred eighty".