216216000 has 896 divisors, whose sum is σ = 1065093120. Its totient is φ = 41472000.

The previous prime is 216215983. The next prime is 216216023. The reversal of 216216000 is 612612.

It is a happy number.

216216000 is a `hidden beast` number, since 2 + 1 + 62 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16631994 + ... + 16632006.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^216216000 is an apocalyptic number.

216216000 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 216216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

216216000 is an abundant number, since it is smaller than the sum of its proper divisors (848877120).

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

216216000 is a wasteful number, since it uses less digits than its factorization.

216216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 216216000 is about 14704.2850897281. The cubic root of 216216000 is about 600.1999333703.

Adding to 216216000 its reverse (612612), we get a palindrome (216828612).

It can be divided in two parts, 216 and 216000, that multiplied together give a cube (46656000 = 360³).

The spelling of 216216000 in words is "two hundred sixteen million, two hundred sixteen thousand".