216969984 has 216 divisors, whose sum is σ = 780579072. Its totient is φ = 56309760.

The previous prime is 216969983. The next prime is 216970049. The reversal of 216969984 is 489969612.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 216969984.

It is not an unprimeable number, because it can be changed into a prime (216969983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176797 + ... + 178019.

It is an arithmetic number, because the mean of its divisors is an integer number (3613792).

Almost surely, 2^216969984 is an apocalyptic number.

216969984 is a gapful number since it is divisible by the number (24) 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 216969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390289536).

216969984 is an abundant number, since it is smaller than the sum of its proper divisors (563609088).

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

216969984 is a wasteful number, since it uses less digits than its factorization.

216969984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1246 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 216969984 is about 14729.9010179974. The cubic root of 216969984 is about 600.8967922716.

The spelling of 216969984 in words is "two hundred sixteen million, nine hundred sixty-nine thousand, nine hundred eighty-four".