220727360 has 112 divisors (see below), whose sum is σ = 613257600. Its totient is φ = 75640320.

The previous prime is 220727359. The next prime is 220727363. The reversal of 220727360 is 63727022.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (220727363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108755 + ... + 110765.

Almost surely, 2^220727360 is an apocalyptic number.

220727360 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 220727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306628800).

220727360 is an abundant number, since it is smaller than the sum of its proper divisors (392530240).

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

220727360 is an equidigital number, since it uses as much as digits as its factorization.

220727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 220727360 is about 14856.8960419059. The cubic root of 220727360 is about 604.3456349601.

The spelling of 220727360 in words is "two hundred twenty million, seven hundred twenty-seven thousand, three hundred sixty".