220788384 has 96 divisors (see below), whose sum is σ = 624335040. Its totient is φ = 68063232.

The previous prime is 220788343. The next prime is 220788389. The reversal of 220788384 is 483887022.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (220788389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95142 + ... + 97434.

It is an arithmetic number, because the mean of its divisors is an integer number (6503490).

Almost surely, 2^220788384 is an apocalyptic number.

220788384 is a gapful number since it is divisible by the number (24) 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 220788384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312167520).

220788384 is an abundant number, since it is smaller than the sum of its proper divisors (403546656).

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

220788384 is a wasteful number, since it uses less digits than its factorization.

220788384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 220788384 is about 14858.9496264036. The cubic root of 220788384 is about 604.4013238574.

The spelling of 220788384 in words is "two hundred twenty million, seven hundred eighty-eight thousand, three hundred eighty-four".