90220 has 24 divisors (see below), whose sum is σ = 204624. Its totient is φ = 33216.

The previous prime is 90217. The next prime is 90227. The reversal of 90220 is 2209.

90220 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 90220.

It is not an unprimeable number, because it can be changed into a prime (90227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (8526).

2⁹⁰²²⁰ 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 90220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102312).

90220 is an abundant number, since it is smaller than the sum of its proper divisors (114404).

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

90220 is a wasteful number, since it uses less digits than its factorization.

90220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 90220 is about 300.3664428660. The cubic root of 90220 is about 44.8505329026.

Adding to 90220 its reverse (2209), we get a palindrome (92429).

The spelling of 90220 in words is "ninety thousand, two hundred twenty".