220584072 has 64 divisors (see below), whose sum is σ = 583315200. Its totient is φ = 69318720.

The previous prime is 220584029. The next prime is 220584103. The reversal of 220584072 is 270485022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102447 + ... + 104577.

It is an arithmetic number, because the mean of its divisors is an integer number (9114300).

Almost surely, 2^220584072 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 220584072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291657600).

220584072 is an abundant number, since it is smaller than the sum of its proper divisors (362731128).

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

220584072 is a wasteful number, since it uses less digits than its factorization.

220584072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 220584072 is about 14852.0729866238. The cubic root of 220584072 is about 604.2148337426.

The spelling of 220584072 in words is "two hundred twenty million, five hundred eighty-four thousand, seventy-two".