220784832 has 112 divisors (see below), whose sum is σ = 659099520. Its totient is φ = 72458496.

The previous prime is 220784819. The next prime is 220784867. The reversal of 220784832 is 238487022.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 114823 + ... + 116729.

Almost surely, 2^220784832 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 220784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329549760).

220784832 is an abundant number, since it is smaller than the sum of its proper divisors (438314688).

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

220784832 is a wasteful number, since it uses less digits than its factorization.

220784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 220784832 is about 14858.8301019966. The cubic root of 220784832 is about 604.3980826769.

The spelling of 220784832 in words is "two hundred twenty million, seven hundred eighty-four thousand, eight hundred thirty-two".