90306 has 24 divisors (see below), whose sum is σ = 203580. Its totient is φ = 28896.

The previous prime is 90289. The next prime is 90313. The reversal of 90306 is 60309.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 5625 = 291^2 + 75^2 .

It is a super-3 number, since 3×90306³ = 2209383331117848, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

90306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436 + ... + 608.

2⁹⁰³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101790).

90306 is an abundant number, since it is smaller than the sum of its proper divisors (113274).

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

90306 is a wasteful number, since it uses less digits than its factorization.

90306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 90306 is about 300.5095672354. The cubic root of 90306 is about 44.8647792667.

The spelling of 90306 in words is "ninety thousand, three hundred six".