216960 has 64 divisors (see below), whose sum is σ = 697680. Its totient is φ = 57344.

The previous prime is 216947. The next prime is 216967. The reversal of 216960 is 69612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 216960.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216960.

It is not an unprimeable number, because it can be changed into a prime (216967) by changing a digit.

216960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1864 + ... + 1976.

2²¹⁶⁹⁶⁰ is an apocalyptic number.

216960 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 216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348840).

216960 is an abundant number, since it is smaller than the sum of its proper divisors (480720).

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

216960 is a wasteful number, since it uses less digits than its factorization.

216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 216960 is about 465.7896520963. The cubic root of 216960 is about 60.0887575258.

It can be divided in two parts, 216 and 960, that added together give a triangular number (1176 = T₄₈).

The spelling of 216960 in words is "two hundred sixteen thousand, nine hundred sixty".