115541160 has 128 divisors (see below), whose sum is σ = 398407680. Its totient is φ = 26258688.

The previous prime is 115541141. The next prime is 115541161. The reversal of 115541160 is 61145511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 115541160.

It is not an unprimeable number, because it can be changed into a prime (115541161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220659 + ... + 221181.

It is an arithmetic number, because the mean of its divisors is an integer number (3112560).

Almost surely, 2^115541160 is an apocalyptic number.

115541160 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 115541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199203840).

115541160 is an abundant number, since it is smaller than the sum of its proper divisors (282866520).

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

115541160 is a wasteful number, since it uses less digits than its factorization.

115541160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 115541160 is about 10749.0073960343. The cubic root of 115541160 is about 487.0560112779.

Adding to 115541160 its reverse (61145511), we get a palindrome (176686671).

The spelling of 115541160 in words is "one hundred fifteen million, five hundred forty-one thousand, one hundred sixty".