220563648 has 140 divisors (see below), whose sum is σ = 660412192. Its totient is φ = 72783360.

The previous prime is 220563631. The next prime is 220563649. The reversal of 220563648 is 846365022.

220563648 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 6 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220563649) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 813753 + ... + 814023.

Almost surely, 2^220563648 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 220563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330206096).

220563648 is an abundant number, since it is smaller than the sum of its proper divisors (439848544).

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

220563648 is a wasteful number, since it uses less digits than its factorization.

220563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 220563648 is about 14851.3853899224. The cubic root of 220563648 is about 604.1961849729.

The spelling of 220563648 in words is "two hundred twenty million, five hundred sixty-three thousand, six hundred forty-eight".