216980 has 24 divisors (see below), whose sum is σ = 480480. Its totient is φ = 82080.

The previous prime is 216973. The next prime is 216991. The reversal of 216980 is 89612.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

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 216980.

It is an unprimeable number.

216980 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, 95 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (20020).

2²¹⁶⁹⁸⁰ is an apocalyptic number.

216980 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 216980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240240).

216980 is an abundant number, since it is smaller than the sum of its proper divisors (263500).

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

216980 is a wasteful number, since it uses less digits than its factorization.

216980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 216980 is about 465.8111205199. The cubic root of 216980 is about 60.0906038542.

The spelling of 216980 in words is "two hundred sixteen thousand, nine hundred eighty".