220004064 has 144 divisors (see below), whose sum is σ = 727140960. Its totient is φ = 61793280.

The previous prime is 220004027. The next prime is 220004093. The reversal of 220004064 is 460400022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122082 + ... + 123870.

It is an arithmetic number, because the mean of its divisors is an integer number (5049590).

Almost surely, 2^220004064 is an apocalyptic number.

220004064 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 220004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363570480).

220004064 is an abundant number, since it is smaller than the sum of its proper divisors (507136896).

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

220004064 is a wasteful number, since it uses less digits than its factorization.

220004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220004064 is about 14832.5339709707. The cubic root of 220004064 is about 603.6847908688.

Adding to 220004064 its reverse (460400022), we get a palindrome (680404086).

The spelling of 220004064 in words is "two hundred twenty million, four thousand, sixty-four".