220164048 has 160 divisors (see below), whose sum is σ = 687456000. Its totient is φ = 67060224.

The previous prime is 220164047. The next prime is 220164089. The reversal of 220164048 is 840461022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220164047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106253 + ... + 1106451.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^220164048 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 220164048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728000).

220164048 is an abundant number, since it is smaller than the sum of its proper divisors (467291952).

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

220164048 is a wasteful number, since it uses less digits than its factorization.

220164048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

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

The square root of 220164048 is about 14837.9260006242. The cubic root of 220164048 is about 603.8310859035.

The spelling of 220164048 in words is "two hundred twenty million, one hundred sixty-four thousand, forty-eight".