220820600 has 192 divisors, whose sum is σ = 689955840. Its totient is φ = 63475200.

The previous prime is 220820569. The next prime is 220820651. The reversal of 220820600 is 6028022.

220820600 is digitally balanced in base 2, 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199649 + ... + 200751.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^220820600 is an apocalyptic number.

220820600 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 220820600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344977920).

220820600 is an abundant number, since it is smaller than the sum of its proper divisors (469135240).

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

220820600 is a wasteful number, since it uses less digits than its factorization.

220820600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 220820600 is about 14860.0336473374. The cubic root of 220820600 is about 604.4307191933.

Adding to 220820600 its reverse (6028022), we get a palindrome (226848622).

The spelling of 220820600 in words is "two hundred twenty million, eight hundred twenty thousand, six hundred".