216080 has 40 divisors (see below), whose sum is σ = 523032. Its totient is φ = 82944.

The previous prime is 216071. The next prime is 216091. The reversal of 216080 is 80612.

216080 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 150544 = 256^2 + 388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

216080 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, 2924 + ... + 2996.

216080 is a Friedman number, since it can be written as 80+60^(2+1), using all its digits and the basic arithmetic operations.

2²¹⁶⁰⁸⁰ is an apocalyptic number.

216080 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 216080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261516).

216080 is an abundant number, since it is smaller than the sum of its proper divisors (306952).

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

216080 is a wasteful number, since it uses less digits than its factorization.

216080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 216080 is about 464.8440598738. The cubic root of 216080 is about 60.0074064931.

Adding to 216080 its reverse (80612), we get a palindrome (296692).

The spelling of 216080 in words is "two hundred sixteen thousand, eighty".