216600 has 72 divisors (see below), whose sum is σ = 708660. Its totient is φ = 54720.

The previous prime is 216577. The next prime is 216607. The reversal of 216600 is 6612.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 216600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216607) by changing a digit.

216600 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 17 ways as a sum of consecutive naturals, for example, 11391 + ... + 11409.

2²¹⁶⁶⁰⁰ is an apocalyptic number.

216600 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 216600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354330).

216600 is an abundant number, since it is smaller than the sum of its proper divisors (492060).

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

216600 is a wasteful number, since it uses less digits than its factorization.

216600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 216600 is about 465.4030511288. The cubic root of 216600 is about 60.0555041945.

It can be divided in two parts, 216 and 600, that multiplied together give a square (129600 = 360²).

The spelling of 216600 in words is "two hundred sixteen thousand, six hundred".