216720000 has 480 divisors, whose sum is σ = 911333280. Its totient is φ = 48384000.

The previous prime is 216719983. The next prime is 216720001. The reversal of 216720000 is 27612.

It is a happy number.

216720000 is digitally balanced in base 3, 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 (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216720001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039979 + ... + 5040021.

It is an arithmetic number, because the mean of its divisors is an integer number (1898611).

Almost surely, 2^216720000 is an apocalyptic number.

216720000 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 216720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455666640).

216720000 is an abundant number, since it is smaller than the sum of its proper divisors (694613280).

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

216720000 is an equidigital number, since it uses as much as digits as its factorization.

216720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 216720000 is about 14721.4129756624. The cubic root of 216720000 is about 600.6659272946.

Adding to 216720000 its reverse (27612), we get a palindrome (216747612).

The spelling of 216720000 in words is "two hundred sixteen million, seven hundred twenty thousand".