216032 has 24 divisors (see below), whose sum is σ = 437976. Its totient is φ = 104832.

The previous prime is 216023. The next prime is 216037. The reversal of 216032 is 230612.

216032 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 215998 and 216016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1298 + ... + 1454.

It is an arithmetic number, because the mean of its divisors is an integer number (18249).

216032 is a Friedman number, since it can be written as 60^(2+1)+32, using all its digits and the basic arithmetic operations.

2²¹⁶⁰³² 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 216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218988).

216032 is an abundant number, since it is smaller than the sum of its proper divisors (221944).

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

216032 is a wasteful number, since it uses less digits than its factorization.

216032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 216032 is about 464.7924267886. The cubic root of 216032 is about 60.0029628167.

Adding to 216032 its reverse (230612), we get a palindrome (446644).

The spelling of 216032 in words is "two hundred sixteen thousand, thirty-two".