115424160 has 96 divisors (see below), whose sum is σ = 375363072. Its totient is φ = 29783040.

The previous prime is 115424149. The next prime is 115424161. The reversal of 115424160 is 61424511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 115424160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115424161) 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 15 ways as a sum of consecutive naturals, for example, 11002 + ... + 18758.

It is an arithmetic number, because the mean of its divisors is an integer number (3910032).

Almost surely, 2^115424160 is an apocalyptic number.

115424160 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 115424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187681536).

115424160 is an abundant number, since it is smaller than the sum of its proper divisors (259938912).

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

115424160 is a wasteful number, since it uses less digits than its factorization.

115424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 115424160 is about 10743.5636545794. The cubic root of 115424160 is about 486.8915538696.

Adding to 115424160 its reverse (61424511), we get a palindrome (176848671).

The spelling of 115424160 in words is "one hundred fifteen million, four hundred twenty-four thousand, one hundred sixty".