216396432 has 120 divisors (see below), whose sum is σ = 697622016. Its totient is φ = 61337088.

The previous prime is 216396409. The next prime is 216396437. The reversal of 216396432 is 234693612.

216396432 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 9 + 643 + 2 = 666.

216396432 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 (36).

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

It is not an unprimeable number, because it can be changed into a prime (216396437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137313 + ... + 138879.

Almost surely, 2^216396432 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 216396432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348811008).

216396432 is an abundant number, since it is smaller than the sum of its proper divisors (481225584).

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

216396432 is a wasteful number, since it uses less digits than its factorization.

216396432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1716 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 216396432 is about 14710.4191646601. The cubic root of 216396432 is about 600.3668423321.

The spelling of 216396432 in words is "two hundred sixteen million, three hundred ninety-six thousand, four hundred thirty-two".