324090 has 48 divisors (see below), whose sum is σ = 910728. Its totient is φ = 79488.

The previous prime is 324089. The next prime is 324097. The reversal of 324090 is 90423.

It can be written as a sum of positive squares in 4 ways, for example, as 145161 + 178929 = 381^2 + 423^2 .

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

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032 + ... + 1308.

2³²⁴⁰⁹⁰ is an apocalyptic number.

324090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 324090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455364).

324090 is an abundant number, since it is smaller than the sum of its proper divisors (586638).

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

324090 is a wasteful number, since it uses less digits than its factorization.

324090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 300 counting only the distinct ones).

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

The square root of 324090 is about 569.2890302825. The cubic root of 324090 is about 68.6892134880.

It can be divided in two parts, 3240 and 90, that multiplied together give a square (291600 = 540²).

The spelling of 324090 in words is "three hundred twenty-four thousand, ninety".