90380 has 12 divisors (see below), whose sum is σ = 189840. Its totient is φ = 36144.

The previous prime is 90379. The next prime is 90397. The reversal of 90380 is 8309.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 4519 = 90380 / (9 + 0 + 3 + 8 + 0).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90380.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2240 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (15820).

2⁹⁰³⁸⁰ is an apocalyptic number.

It is an amenable number.

90380 is an abundant number, since it is smaller than the sum of its proper divisors (99460).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94920).

90380 is a wasteful number, since it uses less digits than its factorization.

90380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 90380 is about 300.6326662224. The cubic root of 90380 is about 44.8770305281.

Adding to 90380 its reverse (8309), we get a palindrome (98689).

The spelling of 90380 in words is "ninety thousand, three hundred eighty".