116032 has 42 divisors (see below), whose sum is σ = 275082. Its totient is φ = 48384.

The previous prime is 116027. The next prime is 116041. The reversal of 116032 is 230611.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 3136 = 336^2 + 56^2 .

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3118 + ... + 3154.

2¹¹⁶⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137541).

116032 is an abundant number, since it is smaller than the sum of its proper divisors (159050).

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

116032 is an equidigital number, since it uses as much as digits as its factorization.

116032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 116032 is about 340.6347016967. The cubic root of 116032 is about 48.7744737952.

Adding to 116032 its reverse (230611), we get a palindrome (346643).

The spelling of 116032 in words is "one hundred sixteen thousand, thirty-two".