220008 has 32 divisors (see below), whose sum is σ = 561600. Its totient is φ = 71808.

The previous prime is 219983. The next prime is 220009. The reversal of 220008 is 800022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 219975 and 220002.

It is not an unprimeable number, because it can be changed into a prime (220009) by changing a digit.

220008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2085 + ... + 2187.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2²²⁰⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

220008 is an abundant number, since it is smaller than the sum of its proper divisors (341592).

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

220008 is a wasteful number, since it uses less digits than its factorization.

220008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220008 is about 469.0501039335. The cubic root of 220008 is about 60.3688390937.

The spelling of 220008 in words is "two hundred twenty thousand, eight".