220890 has 32 divisors (see below), whose sum is σ = 547200. Its totient is φ = 57024.

The previous prime is 220889. The next prime is 220897. The reversal of 220890 is 98022.

It is a super-3 number, since 3×220890³ = 32333254472907000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220897) 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, 1011 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2²²⁰⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273600).

220890 is an abundant number, since it is smaller than the sum of its proper divisors (326310).

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

220890 is a wasteful number, since it uses less digits than its factorization.

220890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 220890 is about 469.9893615817. The cubic root of 220890 is about 60.4494033181.

The spelling of 220890 in words is "two hundred twenty thousand, eight hundred ninety".