126384 has 20 divisors (see below), whose sum is σ = 326616. Its totient is φ = 42112.

The previous prime is 126359. The next prime is 126397. The reversal of 126384 is 483621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 13.

It is an unprimeable number.

126384 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 3 ways as a sum of consecutive naturals, for example, 1269 + ... + 1364.

2¹²⁶³⁸⁴ is an apocalyptic number.

It is an amenable number.

126384 is an abundant number, since it is smaller than the sum of its proper divisors (200232).

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

126384 is a wasteful number, since it uses less digits than its factorization.

126384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2638 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 126384 is about 355.5052742225. The cubic root of 126384 is about 50.1838564409.

It can be divided in two parts, 126 and 384, that multiplied together give a palindrome (48384).

The spelling of 126384 in words is "one hundred twenty-six thousand, three hundred eighty-four".