216237824 has 72 divisors (see below), whose sum is σ = 498678768. Its totient is φ = 92487680.

The previous prime is 216237823. The next prime is 216237829. The reversal of 216237824 is 428732612.

It is a super-3 number, since 3×216237824³ (a number of 26 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216237823) by changing a digit.

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, 45614 + ... + 50130.

It is an arithmetic number, because the mean of its divisors is an integer number (6926094).

Almost surely, 2^216237824 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 216237824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249339384).

216237824 is an abundant number, since it is smaller than the sum of its proper divisors (282440944).

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

216237824 is a wasteful number, since it uses less digits than its factorization.

216237824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4547 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 216237824 is about 14705.0271676050. The cubic root of 216237824 is about 600.2201266380.

The spelling of 216237824 in words is "two hundred sixteen million, two hundred thirty-seven thousand, eight hundred twenty-four".