220804416 has 168 divisors, whose sum is σ = 755074944. Its totient is φ = 60318720.

The previous prime is 220804379. The next prime is 220804417. The reversal of 220804416 is 614408022.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 220804416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220804417) 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, 91546 + ... + 93926.

Almost surely, 2^220804416 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 220804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377537472).

220804416 is an abundant number, since it is smaller than the sum of its proper divisors (534270528).

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

220804416 is a wasteful number, since it uses less digits than its factorization.

220804416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 220804416 is about 14859.4890894674. The cubic root of 220804416 is about 604.4159525369.

The spelling of 220804416 in words is "two hundred twenty million, eight hundred four thousand, four hundred sixteen".