216000 has 112 divisors (see below), whose sum is σ = 792480. Its totient is φ = 57600.

The previous prime is 215983. The next prime is 216023. The reversal of 216000 is 612.

216000 = 6^{3} + 7^{3} + ... + 30^{3}.

The cubic root of 216000 is 60.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12 and 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 216000.

It is an unprimeable number.

216000 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 15 ways as a sum of consecutive naturals, for example, 43198 + ... + 43202.

216000 is a Friedman number, since it can be written as 60^(2+1+0+0), using all its digits and the basic arithmetic operations.

2^{216000} is an apocalyptic number.

216000 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 216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396240).

216000 is an abundant number, since it is smaller than the sum of its proper divisors (576480).

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

216000 is an equidigital number, since it uses as much as digits as its factorization.

216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 216000 is about 464.7580015449.

Adding to 216000 its reverse (612), we get a palindrome (216612).

The spelling of 216000 in words is "two hundred sixteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 400 432 450 480 500 540 576 600 675 720 750 800 864 900 960 1000 1080 1125 1200 1350 1440 1500 1600 1728 1800 2000 2160 2250 2400 2700 2880 3000 3375 3600 4000 4320 4500 4800 5400 6000 6750 7200 8000 8640 9000 10800 12000 13500 14400 18000 21600 24000 27000 36000 43200 54000 72000 108000 216000

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