90280 has 32 divisors (see below), whose sum is σ = 212040. Its totient is φ = 34560.

The previous prime is 90271. The next prime is 90281. The reversal of 90280 is 8209.

It can be written as a sum of positive squares in 4 ways, for example, as 66564 + 23716 = 258^2 + 154^2 .

It is not an unprimeable number, because it can be changed into a prime (90281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1450 + ... + 1510.

2⁹⁰²⁸⁰ 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 90280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020).

90280 is an abundant number, since it is smaller than the sum of its proper divisors (121760).

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

90280 is a wasteful number, since it uses less digits than its factorization.

90280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 90280 is about 300.4663042672. The cubic root of 90280 is about 44.8604731806.

Adding to 90280 its reverse (8209), we get a palindrome (98489).

It can be divided in two parts, 90 and 280, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 90280 in words is "ninety thousand, two hundred eighty".