220647072 has 48 divisors (see below), whose sum is σ = 581569632. Its totient is φ = 73248000.

The previous prime is 220647001. The next prime is 220647083. The reversal of 220647072 is 270746022.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19518 + ... + 28674.

It is an arithmetic number, because the mean of its divisors is an integer number (12116034).

Almost surely, 2^220647072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220647072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290784816).

220647072 is an abundant number, since it is smaller than the sum of its proper divisors (360922560).

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

220647072 is a wasteful number, since it uses less digits than its factorization.

220647072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9421 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 220647072 is about 14854.1937512610. The cubic root of 220647072 is about 604.2723506050.

The spelling of 220647072 in words is "two hundred twenty million, six hundred forty-seven thousand, seventy-two".