220285560 has 128 divisors (see below), whose sum is σ = 737890560. Its totient is φ = 52147200.

The previous prime is 220285553. The next prime is 220285561. The reversal of 220285560 is 65582022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220285561) 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, 54820 + ... + 58700.

It is an arithmetic number, because the mean of its divisors is an integer number (5764770).

Almost surely, 2^220285560 is an apocalyptic number.

220285560 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 220285560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368945280).

220285560 is an abundant number, since it is smaller than the sum of its proper divisors (517605000).

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

220285560 is a wasteful number, since it uses less digits than its factorization.

220285560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 220285560 is about 14842.0200781430. The cubic root of 220285560 is about 603.9421534297.

The spelling of 220285560 in words is "two hundred twenty million, two hundred eighty-five thousand, five hundred sixty".