220542720 has 144 divisors (see below), whose sum is σ = 714255360. Its totient is φ = 57987072.

The previous prime is 220542719. The next prime is 220542727. The reversal of 220542720 is 27245022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220542727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302997 + ... + 303723.

Almost surely, 2^220542720 is an apocalyptic number.

220542720 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 220542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357127680).

220542720 is an abundant number, since it is smaller than the sum of its proper divisors (493712640).

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

220542720 is an equidigital number, since it uses as much as digits as its factorization.

220542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 220542720 is about 14850.6807924755. The cubic root of 220542720 is about 604.1770748161.

Adding to 220542720 its reverse (27245022), we get a palindrome (247787742).

The spelling of 220542720 in words is "two hundred twenty million, five hundred forty-two thousand, seven hundred twenty".