220930560 has 240 divisors, whose sum is σ = 786449664. Its totient is φ = 57286656.

The previous prime is 220930559. The next prime is 220930561. The reversal of 220930560 is 65039022.

It is an interprime number because it is at equal distance from previous prime (220930559) and next prime (220930561).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (220930561) 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, 990609 + ... + 990831.

Almost surely, 2^220930560 is an apocalyptic number.

220930560 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 220930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393224832).

220930560 is an abundant number, since it is smaller than the sum of its proper divisors (565519104).

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

220930560 is a wasteful number, since it uses less digits than its factorization.

220930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 220930560 is about 14863.7330438891. The cubic root of 220930560 is about 604.5310301439.

Adding to 220930560 its reverse (65039022), we get a palindrome (285969582).

The spelling of 220930560 in words is "two hundred twenty million, nine hundred thirty thousand, five hundred sixty".