115948032 has 160 divisors (see below), whose sum is σ = 338817600. Its totient is φ = 35094528.

The previous prime is 115947983. The next prime is 115948069. The reversal of 115948032 is 230849511.

It is a super-2 number, since 2×115948032² = 26887892249346048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115947984 and 115948002.

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 15 ways as a sum of consecutive naturals, for example, 846268 + ... + 846404.

It is an arithmetic number, because the mean of its divisors is an integer number (2117610).

Almost surely, 2^115948032 is an apocalyptic number.

115948032 is a gapful number since it is divisible by the number (12) 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 115948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169408800).

115948032 is an abundant number, since it is smaller than the sum of its proper divisors (222869568).

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

115948032 is a wasteful number, since it uses less digits than its factorization.

115948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 115948032 is about 10767.9167901688. The cubic root of 115948032 is about 487.6270553775.

The spelling of 115948032 in words is "one hundred fifteen million, nine hundred forty-eight thousand, thirty-two".