216985600 has 156 divisors (see below), whose sum is σ = 583002616. Its totient is φ = 79626240.

The previous prime is 216985589. The next prime is 216985631. The reversal of 216985600 is 6589612.

It is a self number, because there is not a number n which added to its sum of digits gives 216985600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331119 + ... + 1331281.

Almost surely, 2^216985600 is an apocalyptic number.

216985600 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 216985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291501308).

216985600 is an abundant number, since it is smaller than the sum of its proper divisors (366017016).

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

216985600 is a wasteful number, since it uses less digits than its factorization.

216985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 216985600 is about 14730.4310866994. The cubic root of 216985600 is about 600.9112080585.

The spelling of 216985600 in words is "two hundred sixteen million, nine hundred eighty-five thousand, six hundred".