216019408 has 120 divisors (see below), whose sum is σ = 504324864. Its totient is φ = 88780800.

The previous prime is 216019403. The next prime is 216019421. The reversal of 216019408 is 804910612.

It is a happy number.

216019408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 216019408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216019403) 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 23 ways as a sum of consecutive naturals, for example, 1576716 + ... + 1576852.

Almost surely, 2^216019408 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 216019408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252162432).

216019408 is an abundant number, since it is smaller than the sum of its proper divisors (288305456).

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

216019408 is a wasteful number, since it uses less digits than its factorization.

216019408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 216019408 is about 14697.5987154365. The cubic root of 216019408 is about 600.0179698322.

The spelling of 216019408 in words is "two hundred sixteen million, nineteen thousand, four hundred eight".