220580920 has 64 divisors (see below), whose sum is σ = 568555200. Its totient is φ = 75448320.

The previous prime is 220580911. The next prime is 220580923. The reversal of 220580920 is 29085022.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220580923) 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 15 ways as a sum of consecutive naturals, for example, 178866 + ... + 180094.

It is an arithmetic number, because the mean of its divisors is an integer number (8883675).

Almost surely, 2^220580920 is an apocalyptic number.

220580920 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 220580920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284277600).

220580920 is an abundant number, since it is smaller than the sum of its proper divisors (347974280).

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

220580920 is a wasteful number, since it uses less digits than its factorization.

220580920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 220580920 is about 14851.9668731115. The cubic root of 220580920 is about 604.2119557859.

The spelling of 220580920 in words is "two hundred twenty million, five hundred eighty thousand, nine hundred twenty".