90324 has 36 divisors (see below), whose sum is σ = 247156. Its totient is φ = 27648.

The previous prime is 90313. The next prime is 90353. The reversal of 90324 is 42309.

90324 = T₃₁ + T₃₂ + ... + T₈₂.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 72900 = 132^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 90297 and 90306.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90324.

It is an unprimeable number.

90324 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 11 ways as a sum of consecutive naturals, for example, 372 + ... + 564.

2⁹⁰³²⁴ 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 90324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123578).

90324 is an abundant number, since it is smaller than the sum of its proper divisors (156832).

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

90324 is a wasteful number, since it uses less digits than its factorization.

90324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 90324 is about 300.5395148728. The cubic root of 90324 is about 44.8677599191.

It can be divided in two parts, 90 and 324, that added together give a palindrome (414).

The spelling of 90324 in words is "ninety thousand, three hundred twenty-four".