126024 has 32 divisors (see below), whose sum is σ = 324000. Its totient is φ = 40832.

The previous prime is 126023. The next prime is 126031. The reversal of 126024 is 420621.

It is a Cunningham number, because it is equal to 355²-1.

It is a junction number, because it is equal to n+sod(n) for n = 125994 and 126012.

It is not an unprimeable number, because it can be changed into a prime (126023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372 + ... + 1460.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2¹²⁶⁰²⁴ 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 126024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000).

126024 is an abundant number, since it is smaller than the sum of its proper divisors (197976).

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

126024 is a wasteful number, since it uses less digits than its factorization.

126024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 126024 is about 354.9985915465. The cubic root of 126024 is about 50.1361621939.

Adding to 126024 its reverse (420621), we get a palindrome (546645).

The spelling of 126024 in words is "one hundred twenty-six thousand, twenty-four".