210216000 has 224 divisors, whose sum is σ = 732251520. Its totient is φ = 52992000.

The previous prime is 210215987. The next prime is 210216011. The reversal of 210216000 is 612012.

210216000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455770 + ... + 456230.

It is an arithmetic number, because the mean of its divisors is an integer number (3268980).

Almost surely, 2^210216000 is an apocalyptic number.

210216000 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 210216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366125760).

210216000 is an abundant number, since it is smaller than the sum of its proper divisors (522035520).

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

210216000 is a wasteful number, since it uses less digits than its factorization.

210216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 210216000 is about 14498.8275388046. The cubic root of 210216000 is about 594.5959170546.

Adding to 210216000 its reverse (612012), we get a palindrome (210828012).

The spelling of 210216000 in words is "two hundred ten million, two hundred sixteen thousand".