216920 has 64 divisors (see below), whose sum is σ = 583200. Its totient is φ = 71680.

The previous prime is 216919. The next prime is 216947. The reversal of 216920 is 29612.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 216892 and 216901.

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 216920.

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, 7466 + ... + 7494.

2²¹⁶⁹²⁰ is an apocalyptic number.

216920 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 216920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291600).

216920 is an abundant number, since it is smaller than the sum of its proper divisors (366280).

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

216920 is a wasteful number, since it uses less digits than its factorization.

216920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 216920 is about 465.7467122804. The cubic root of 216920 is about 60.0850645286.

The spelling of 216920 in words is "two hundred sixteen thousand, nine hundred twenty".