115998948 has 72 divisors (see below), whose sum is σ = 320314176. Its totient is φ = 35179200.

The previous prime is 115998947. The next prime is 115998991. The reversal of 115998948 is 849899511.

115998948 is a `hidden beast` number, since 1 + 1 + 599 + 8 + 9 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115998894 and 115998903.

It is not an unprimeable number, because it can be changed into a prime (115998941) 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 23 ways as a sum of consecutive naturals, for example, 31483 + ... + 34973.

It is an arithmetic number, because the mean of its divisors is an integer number (4448808).

Almost surely, 2^115998948 is an apocalyptic number.

115998948 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 115998948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160157088).

115998948 is an abundant number, since it is smaller than the sum of its proper divisors (204315228).

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

115998948 is a wasteful number, since it uses less digits than its factorization.

115998948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3580 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The square root of 115998948 is about 10770.2807762843. The cubic root of 115998948 is about 487.6984217917.

The spelling of 115998948 in words is "one hundred fifteen million, nine hundred ninety-eight thousand, nine hundred forty-eight".