118758960 has 240 divisors, whose sum is σ = 426535200. Its totient is φ = 30689280.

The previous prime is 118758953. The next prime is 118759007. The reversal of 118758960 is 69857811.

118758960 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 589 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 796966 + ... + 797114.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^118758960 is an apocalyptic number.

118758960 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 118758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

118758960 is an abundant number, since it is smaller than the sum of its proper divisors (307776240).

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

118758960 is a wasteful number, since it uses less digits than its factorization.

118758960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 118758960 is about 10897.6584640922. The cubic root of 118758960 is about 491.5361481893.

The spelling of 118758960 in words is "one hundred eighteen million, seven hundred fifty-eight thousand, nine hundred sixty".