126324 has 54 divisors (see below), whose sum is σ = 363090. Its totient is φ = 36960.

The previous prime is 126323. The next prime is 126337. The reversal of 126324 is 423621.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 17424 = 330^2 + 132^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126297 and 126306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4342 + ... + 4370.

2¹²⁶³²⁴ 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 126324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181545).

126324 is an abundant number, since it is smaller than the sum of its proper divisors (236766).

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

126324 is a wasteful number, since it uses less digits than its factorization.

126324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 126324 is about 355.4208772709. The cubic root of 126324 is about 50.1759136949.

Adding to 126324 its reverse (423621), we get a palindrome (549945).

It can be divided in two parts, 12 and 6324, that added together give a palindrome (6336).

The spelling of 126324 in words is "one hundred twenty-six thousand, three hundred twenty-four".