220775360 has 112 divisors (see below), whose sum is σ = 574706496. Its totient is φ = 80289792.

The previous prime is 220775353. The next prime is 220775381. The reversal of 220775360 is 63577022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 303317 + ... + 304043.

It is an arithmetic number, because the mean of its divisors is an integer number (5131308).

Almost surely, 2^220775360 is an apocalyptic number.

220775360 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 220775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287353248).

220775360 is an abundant number, since it is smaller than the sum of its proper divisors (353931136).

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

220775360 is a wasteful number, since it uses less digits than its factorization.

220775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 220775360 is about 14858.5113655440. The cubic root of 220775360 is about 604.3894393590.

The spelling of 220775360 in words is "two hundred twenty million, seven hundred seventy-five thousand, three hundred sixty".