90200 has 48 divisors (see below), whose sum is σ = 234360. Its totient is φ = 32000.

The previous prime is 90199. The next prime is 90203. The reversal of 90200 is 209.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2180 + ... + 2220.

2⁹⁰²⁰⁰ 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 90200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180).

90200 is an abundant number, since it is smaller than the sum of its proper divisors (144160).

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

90200 is a wasteful number, since it uses less digits than its factorization.

90200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 90200 is about 300.3331483536. Note that the first 3 decimals coincide. The cubic root of 90200 is about 44.8472184973.

Adding to 90200 its reverse (209), we get a palindrome (90409).

The spelling of 90200 in words is "ninety thousand, two hundred".