220420816 has 120 divisors (see below), whose sum is σ = 552152160. Its totient is φ = 84268800.

The previous prime is 220420813. The next prime is 220420847. The reversal of 220420816 is 618024022.

It is a happy number.

It is a super-2 number, since 2×220420816² = 97170672252211712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220420813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525855 + ... + 526273.

It is an arithmetic number, because the mean of its divisors is an integer number (4601268).

Almost surely, 2^220420816 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 220420816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276076080).

220420816 is an abundant number, since it is smaller than the sum of its proper divisors (331731344).

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

220420816 is a wasteful number, since it uses less digits than its factorization.

220420816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 220420816 is about 14846.5759015337. The cubic root of 220420816 is about 604.0657355761.

Adding to 220420816 its reverse (618024022), we get a palindrome (838444838).

The spelling of 220420816 in words is "two hundred twenty million, four hundred twenty thousand, eight hundred sixteen".