118561968 has 150 divisors (see below), whose sum is σ = 399391476. Its totient is φ = 33856704.

The previous prime is 118561939. The next prime is 118561991. The reversal of 118561968 is 869165811.

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 29 ways as a sum of consecutive naturals, for example, 62571 + ... + 64437.

Almost surely, 2^118561968 is an apocalyptic number.

118561968 is a gapful number since it is divisible by the number (18) 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 118561968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199695738).

118561968 is an abundant number, since it is smaller than the sum of its proper divisors (280829508).

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

118561968 is a wasteful number, since it uses less digits than its factorization.

118561968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1879 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 118561968 is about 10888.6164410360. The cubic root of 118561968 is about 491.2642184568.

It can be divided in two parts, 11856 and 1968, that added together give a cube (13824 = 24³).

The spelling of 118561968 in words is "one hundred eighteen million, five hundred sixty-one thousand, nine hundred sixty-eight".