124644 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 35328.

The previous prime is 124643. The next prime is 124669. The reversal of 124644 is 446421.

It is a super-2 number, since 2×124644² = 31072253472, which contains 22 as substring.

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 124644.

It is not an unprimeable number, because it can be changed into a prime (124643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2629 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2¹²⁴⁶⁴⁴ 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 124644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

124644 is an abundant number, since it is smaller than the sum of its proper divisors (214044).

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

124644 is a wasteful number, since it uses less digits than its factorization.

124644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 124644 is about 353.0495715902. The cubic root of 124644 is about 49.9524882002.

It can be divided in two parts, 12 and 4644, that added together give a triangular number (4656 = T₉₆).

The spelling of 124644 in words is "one hundred twenty-four thousand, six hundred forty-four".