216871200 has 432 divisors, whose sum is σ = 944064576. Its totient is φ = 45619200.

The previous prime is 216871189. The next prime is 216871223. The reversal of 216871200 is 2178612.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655035 + ... + 655365.

Almost surely, 2^216871200 is an apocalyptic number.

216871200 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 216871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472032288).

216871200 is an abundant number, since it is smaller than the sum of its proper divisors (727193376).

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

216871200 is a wasteful number, since it uses less digits than its factorization.

216871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 216871200 is about 14726.5474568889. The cubic root of 216871200 is about 600.8055845718.

The spelling of 216871200 in words is "two hundred sixteen million, eight hundred seventy-one thousand, two hundred".