126624 has 24 divisors (see below), whose sum is σ = 332640. Its totient is φ = 42176.

The previous prime is 126613. The next prime is 126631. The reversal of 126624 is 426621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 126624.

It is an unprimeable number.

126624 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, 564 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2¹²⁶⁶²⁴ is an apocalyptic number.

It is an amenable number.

126624 is an abundant number, since it is smaller than the sum of its proper divisors (206016).

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

126624 is a wasteful number, since it uses less digits than its factorization.

126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 126624 is about 355.8426618605. The cubic root of 126624 is about 50.2156023099.

The spelling of 126624 in words is "one hundred twenty-six thousand, six hundred twenty-four".