216811024 has 40 divisors (see below), whose sum is σ = 434972160. Its totient is φ = 104582400.

The previous prime is 216811003. The next prime is 216811051. The reversal of 216811024 is 420118612.

It is a self number, because there is not a number n which added to its sum of digits gives 216811024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257997 + ... + 258835.

It is an arithmetic number, because the mean of its divisors is an integer number (10874304).

Almost surely, 2^216811024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216811024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217486080).

216811024 is an abundant number, since it is smaller than the sum of its proper divisors (218161136).

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

216811024 is a wasteful number, since it uses less digits than its factorization.

216811024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 216811024 is about 14724.5042021794. The cubic root of 216811024 is about 600.7500102319.

Adding to 216811024 its reverse (420118612), we get a palindrome (636929636).

The spelling of 216811024 in words is "two hundred sixteen million, eight hundred eleven thousand, twenty-four".