216216960 has 128 divisors (see below), whose sum is σ = 725587200. Its totient is φ = 54614016.

The previous prime is 216216947. The next prime is 216216983. The reversal of 216216960 is 69612612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33517 + ... + 39443.

It is an arithmetic number, because the mean of its divisors is an integer number (5668650).

Almost surely, 2^216216960 is an apocalyptic number.

216216960 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 216216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362793600).

216216960 is an abundant number, since it is smaller than the sum of its proper divisors (509370240).

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

216216960 is a wasteful number, since it uses less digits than its factorization.

216216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 216216960 is about 14704.3177332374. The cubic root of 216216960 is about 600.2008216658.

The spelling of 216216960 in words is "two hundred sixteen million, two hundred sixteen thousand, nine hundred sixty".