216432 has 50 divisors (see below), whose sum is σ = 630168. Its totient is φ = 71712.

The previous prime is 216431. The next prime is 216451. The reversal of 216432 is 234612.

It is a happy number.

216432 is a `hidden beast` number, since 21 + 643 + 2 = 666.

216432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216431) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1213 + ... + 1379.

216432 is a Friedman number, since it can be written as 6^4*(13^2-2), using all its digits and the basic arithmetic operations.

2²¹⁶⁴³² 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 216432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315084).

216432 is an abundant number, since it is smaller than the sum of its proper divisors (413736).

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

216432 is a wasteful number, since it uses less digits than its factorization.

216432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 216432 is about 465.2225273995. Note that the first 3 decimals coincide. The cubic root of 216432 is about 60.0399733629.

The spelling of 216432 in words is "two hundred sixteen thousand, four hundred thirty-two".