220041360 has 560 divisors, whose sum is σ = 975830400. Its totient is φ = 45722880.

The previous prime is 220041347. The next prime is 220041377. The reversal of 220041360 is 63140022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×220041360² = 96836400221299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 111 ways as a sum of consecutive naturals, for example, 20003755 + ... + 20003765.

Almost surely, 2^220041360 is an apocalyptic number.

220041360 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 220041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487915200).

220041360 is an abundant number, since it is smaller than the sum of its proper divisors (755789040).

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

220041360 is an equidigital number, since it uses as much as digits as its factorization.

220041360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220041360 is about 14833.7911539835. The cubic root of 220041360 is about 603.7189019899.

Adding to 220041360 its reverse (63140022), we get a palindrome (283181382).

The spelling of 220041360 in words is "two hundred twenty million, forty-one thousand, three hundred sixty".