90500 has 24 divisors (see below), whose sum is σ = 198744. Its totient is φ = 36000.

The previous prime is 90499. The next prime is 90511. The reversal of 90500 is 509.

It can be written as a sum of positive squares in 4 ways, for example, as 24964 + 65536 = 158^2 + 256^2 .

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (8281).

2⁹⁰⁵⁰⁰ 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 90500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99372).

90500 is an abundant number, since it is smaller than the sum of its proper divisors (108244).

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

90500 is a wasteful number, since it uses less digits than its factorization.

90500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 90500 is about 300.8321791298. The cubic root of 90500 is about 44.8968832317.

The spelling of 90500 in words is "ninety thousand, five hundred".