220080384 has 108 divisors (see below), whose sum is σ = 645699600. Its totient is φ = 72072192.

The previous prime is 220080379. The next prime is 220080389. The reversal of 220080384 is 483080022.

220080384 is a `hidden beast` number, since 2 + 200 + 80 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (220080379) and next prime (220080389).

It is not an unprimeable number, because it can be changed into a prime (220080389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135127 + ... + 136745.

It is an arithmetic number, because the mean of its divisors is an integer number (5978700).

Almost surely, 2^220080384 is an apocalyptic number.

220080384 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 220080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322849800).

220080384 is an abundant number, since it is smaller than the sum of its proper divisors (425619216).

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

220080384 is a wasteful number, since it uses less digits than its factorization.

220080384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 220080384 is about 14835.1064708009. The cubic root of 220080384 is about 603.7545894228.

The spelling of 220080384 in words is "two hundred twenty million, eighty thousand, three hundred eighty-four".