220382720 has 80 divisors (see below), whose sum is σ = 545643648. Its totient is φ = 85278720.

The previous prime is 220382677. The next prime is 220382731. The reversal of 220382720 is 27283022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 220382720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77972 + ... + 80748.

Almost surely, 2^220382720 is an apocalyptic number.

220382720 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 220382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272821824).

220382720 is an abundant number, since it is smaller than the sum of its proper divisors (325260928).

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

220382720 is an equidigital number, since it uses as much as digits as its factorization.

220382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 220382720 is about 14845.2928566600. The cubic root of 220382720 is about 604.0309327316.

The spelling of 220382720 in words is "two hundred twenty million, three hundred eighty-two thousand, seven hundred twenty".