216396000 has 144 divisors (see below), whose sum is σ = 768117168. Its totient is φ = 57696000.

The previous prime is 216395989. The next prime is 216396007. The reversal of 216396000 is 693612.

It is a happy number.

216396000 is a `hidden beast` number, since 21 + 6 + 39 + 600 + 0 = 666.

216396000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216396007) 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, 32995 + ... + 39005.

It is an arithmetic number, because the mean of its divisors is an integer number (5334147).

Almost surely, 2^216396000 is an apocalyptic number.

216396000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384058584).

216396000 is an abundant number, since it is smaller than the sum of its proper divisors (551721168).

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

216396000 is a wasteful number, since it uses less digits than its factorization.

216396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 216396000 is about 14710.4044811827. The cubic root of 216396000 is about 600.3664428205.

The spelling of 216396000 in words is "two hundred sixteen million, three hundred ninety-six thousand".