216087200 has 144 divisors (see below), whose sum is σ = 616460544. Its totient is φ = 72422400.

The previous prime is 216087181. The next prime is 216087203. The reversal of 216087200 is 2780612.

216087200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216087200.

It is not an unprimeable number, because it can be changed into a prime (216087203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262790 + ... + 263610.

It is an arithmetic number, because the mean of its divisors is an integer number (4280976).

Almost surely, 2^216087200 is an apocalyptic number.

216087200 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 216087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308230272).

216087200 is an abundant number, since it is smaller than the sum of its proper divisors (400373344).

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

216087200 is a wasteful number, since it uses less digits than its factorization.

216087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 216087200 is about 14699.9047615962. The cubic root of 216087200 is about 600.0807298781.

The spelling of 216087200 in words is "two hundred sixteen million, eighty-seven thousand, two hundred".