216800 has 36 divisors (see below), whose sum is σ = 531216. Its totient is φ = 86400.

The previous prime is 216791. The next prime is 216803. The reversal of 216800 is 8612.

216800 = T₆₇ + T₆₈ + ... + T₁₁₆.

216800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 665 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (14756).

2²¹⁶⁸⁰⁰ is an apocalyptic number.

216800 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 216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265608).

216800 is an abundant number, since it is smaller than the sum of its proper divisors (314416).

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

216800 is a wasteful number, since it uses less digits than its factorization.

216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

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

The square root of 216800 is about 465.6178690729. The cubic root of 216800 is about 60.0739828123.

The spelling of 216800 in words is "two hundred sixteen thousand, eight hundred".