124656 has 60 divisors (see below), whose sum is σ = 381672. Its totient is φ = 34944.

The previous prime is 124643. The next prime is 124669. The reversal of 124656 is 656421.

It is an interprime number because it is at equal distance from previous prime (124643) and next prime (124669).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2326 + ... + 2378.

2¹²⁴⁶⁵⁶ is an apocalyptic number.

124656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836).

124656 is an abundant number, since it is smaller than the sum of its proper divisors (257016).

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

124656 is a wasteful number, since it uses less digits than its factorization.

124656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 124656 is about 353.0665659617. The cubic root of 124656 is about 49.9540911939.

It can be divided in two parts, 124 and 656, that added together give a triangular number (780 = T₃₉).

The spelling of 124656 in words is "one hundred twenty-four thousand, six hundred fifty-six".