216536416 has 48 divisors (see below), whose sum is σ = 439998048. Its totient is φ = 104832000.

The previous prime is 216536413. The next prime is 216536423. The reversal of 216536416 is 614635612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216536413) 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, 197566 + ... + 198658.

It is an arithmetic number, because the mean of its divisors is an integer number (9166626).

Almost surely, 2^216536416 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 216536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219999024).

216536416 is an abundant number, since it is smaller than the sum of its proper divisors (223461632).

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

216536416 is a wasteful number, since it uses less digits than its factorization.

216536416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1287 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 216536416 is about 14715.1763835844. The cubic root of 216536416 is about 600.4962708936.

The spelling of 216536416 in words is "two hundred sixteen million, five hundred thirty-six thousand, four hundred sixteen".