216853200 has 360 divisors, whose sum is σ = 822739008. Its totient is φ = 54743040.

The previous prime is 216853151. The next prime is 216853201. The reversal of 216853200 is 2358612.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216853201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2235552 + ... + 2235648.

Almost surely, 2^216853200 is an apocalyptic number.

216853200 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 216853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411369504).

216853200 is an abundant number, since it is smaller than the sum of its proper divisors (605885808).

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

216853200 is a wasteful number, since it uses less digits than its factorization.

216853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216853200 is about 14725.9363029995. The cubic root of 216853200 is about 600.7889621099.

The spelling of 216853200 in words is "two hundred sixteen million, eight hundred fifty-three thousand, two hundred".