220784004 has 108 divisors (see below), whose sum is σ = 663272064. Its totient is φ = 61715808.

The previous prime is 220783999. The next prime is 220784017. The reversal of 220784004 is 400487022.

220784004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81577 + ... + 84239.

It is an arithmetic number, because the mean of its divisors is an integer number (6141408).

Almost surely, 2^220784004 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 220784004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331636032).

220784004 is an abundant number, since it is smaller than the sum of its proper divisors (442488060).

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

220784004 is a wasteful number, since it uses less digits than its factorization.

220784004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 220784004 is about 14858.8022397500. The cubic root of 220784004 is about 604.3973271265.

The spelling of 220784004 in words is "two hundred twenty million, seven hundred eighty-four thousand, four".