220611420 has 144 divisors (see below), whose sum is σ = 693463680. Its totient is φ = 56736768.

The previous prime is 220611409. The next prime is 220611421. The reversal of 220611420 is 24116022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220611393 and 220611402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220611421) 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 47 ways as a sum of consecutive naturals, for example, 752794 + ... + 753086.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^220611420 is an apocalyptic number.

220611420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220611420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

220611420 is an abundant number, since it is smaller than the sum of its proper divisors (472852260).

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

220611420 is a wasteful number, since it uses less digits than its factorization.

220611420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220611420 is about 14852.9936376476. The cubic root of 220611420 is about 604.2398028836.

Adding to 220611420 its reverse (24116022), we get a palindrome (244727442).

The spelling of 220611420 in words is "two hundred twenty million, six hundred eleven thousand, four hundred twenty".