116832 has 24 divisors (see below), whose sum is σ = 306936. Its totient is φ = 38912.

The previous prime is 116827. The next prime is 116833. The reversal of 116832 is 238611.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 116799 and 116808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116833) by changing a digit.

116832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 513 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (12789).

2¹¹⁶⁸³² is an apocalyptic number.

116832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116832 is an abundant number, since it is smaller than the sum of its proper divisors (190104).

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

116832 is a wasteful number, since it uses less digits than its factorization.

116832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 116832 is about 341.8069630654. The cubic root of 116832 is about 48.8863114650.

The spelling of 116832 in words is "one hundred sixteen thousand, eight hundred thirty-two".