124968 has 32 divisors (see below), whose sum is σ = 322560. Its totient is φ = 40320.

The previous prime is 124951. The next prime is 124979. The reversal of 124968 is 869421.

It is an unprimeable number.

124968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

124968 is a Friedman number, since it can be written as 8*(((9+1)/2)^6-4), using all its digits and the basic arithmetic operations.

2¹²⁴⁹⁶⁸ 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 124968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

124968 is an abundant number, since it is smaller than the sum of its proper divisors (197592).

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

124968 is a wasteful number, since it uses less digits than its factorization.

124968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 124968 is about 353.5081328626. The cubic root of 124968 is about 49.9957329692.

The spelling of 124968 in words is "one hundred twenty-four thousand, nine hundred sixty-eight".