220350564 has 96 divisors (see below), whose sum is σ = 668908800. Its totient is φ = 61413120.

The previous prime is 220350563. The next prime is 220350593. The reversal of 220350564 is 465053022.

220350564 is nontrivially palindromic in base 5.

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 (220350563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27442 + ... + 34550.

It is an arithmetic number, because the mean of its divisors is an integer number (6967800).

Almost surely, 2^220350564 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 220350564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334454400).

220350564 is an abundant number, since it is smaller than the sum of its proper divisors (448558236).

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

220350564 is a wasteful number, since it uses less digits than its factorization.

220350564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 220350564 is about 14844.2097802477. The cubic root of 220350564 is about 604.0015532905.

The spelling of 220350564 in words is "two hundred twenty million, three hundred fifty thousand, five hundred sixty-four".