123744 has 24 divisors (see below), whose sum is σ = 325080. Its totient is φ = 41216.

The previous prime is 123737. The next prime is 123757. The reversal of 123744 is 447321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123744.

It is a congruent number.

It is an unprimeable number.

123744 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, 549 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (13545).

2¹²³⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

123744 is an abundant number, since it is smaller than the sum of its proper divisors (201336).

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

123744 is a wasteful number, since it uses less digits than its factorization.

123744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 123744 is about 351.7726538547. The cubic root of 123744 is about 49.8319692794.

The spelling of 123744 in words is "one hundred twenty-three thousand, seven hundred forty-four", and thus it is an iban number.