216954800 has 120 divisors (see below), whose sum is σ = 550076400. Its totient is φ = 82109440.

The previous prime is 216954797. The next prime is 216954839. The reversal of 216954800 is 8459612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684242 + ... + 684558.

It is an arithmetic number, because the mean of its divisors is an integer number (4583970).

Almost surely, 2^216954800 is an apocalyptic number.

216954800 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 216954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275038200).

216954800 is an abundant number, since it is smaller than the sum of its proper divisors (333121600).

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

216954800 is a wasteful number, since it uses less digits than its factorization.

216954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 216954800 is about 14729.3855947898. The cubic root of 216954800 is about 600.8827746187.

The spelling of 216954800 in words is "two hundred sixteen million, nine hundred fifty-four thousand, eight hundred".