220920600 has 96 divisors (see below), whose sum is σ = 720936000. Its totient is φ = 55808640.

The previous prime is 220920571. The next prime is 220920607. The reversal of 220920600 is 6029022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220920607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1711 + ... + 21089.

It is an arithmetic number, because the mean of its divisors is an integer number (7509750).

Almost surely, 2^220920600 is an apocalyptic number.

220920600 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 220920600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360468000).

220920600 is an abundant number, since it is smaller than the sum of its proper divisors (500015400).

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

220920600 is a wasteful number, since it uses less digits than its factorization.

220920600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19417 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 220920600 is about 14863.3979964206. The cubic root of 220920600 is about 604.5219455103.

Adding to 220920600 its reverse (6029022), we get a palindrome (226949622).

The spelling of 220920600 in words is "two hundred twenty million, nine hundred twenty thousand, six hundred".