220689120 has 96 divisors (see below), whose sum is σ = 698785920. Its totient is φ = 58544640.

The previous prime is 220689109. The next prime is 220689143. The reversal of 220689120 is 21986022.

220689120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 100191 + ... + 102369.

It is an arithmetic number, because the mean of its divisors is an integer number (7279020).

Almost surely, 2^220689120 is an apocalyptic number.

220689120 is a gapful number since it is divisible by the number (20) 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 220689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349392960).

220689120 is an abundant number, since it is smaller than the sum of its proper divisors (478096800).

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

220689120 is a wasteful number, since it uses less digits than its factorization.

220689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 220689120 is about 14855.6090417054. The cubic root of 220689120 is about 604.3107329105.

The spelling of 220689120 in words is "two hundred twenty million, six hundred eighty-nine thousand, one hundred twenty".