90390 has 32 divisors (see below), whose sum is σ = 228096. Its totient is φ = 22880.

The previous prime is 90379. The next prime is 90397. The reversal of 90390 is 9309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90397) by changing a digit.

90390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 625 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (7128).

2⁹⁰³⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048).

90390 is an abundant number, since it is smaller than the sum of its proper divisors (137706).

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

90390 is a wasteful number, since it uses less digits than its factorization.

90390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 90390 is about 300.6492973549. The cubic root of 90390 is about 44.8786855910.

Adding to 90390 its reverse (9309), we get a palindrome (99699).

The spelling of 90390 in words is "ninety thousand, three hundred ninety".