220086960 has 80 divisors (see below), whose sum is σ = 692503296. Its totient is φ = 57809664.

The previous prime is 220086929. The next prime is 220086961. The reversal of 220086960 is 69680022.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (220086961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9237 + ... + 22923.

Almost surely, 2^220086960 is an apocalyptic number.

220086960 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 220086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346251648).

220086960 is an abundant number, since it is smaller than the sum of its proper divisors (472416336).

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

220086960 is a wasteful number, since it uses less digits than its factorization.

220086960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13770 (or 13764 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 220086960 is about 14835.3281055729. The cubic root of 220086960 is about 603.7606027569.

The spelling of 220086960 in words is "two hundred twenty million, eighty-six thousand, nine hundred sixty".