124632 has 32 divisors (see below), whose sum is σ = 346800. Its totient is φ = 41472.

The previous prime is 124601. The next prime is 124633. The reversal of 124632 is 236421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 1 + 2³ + 6 + 4⁸ + 3¹⁰ + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 504.

124632 is a Friedman number, since it can be written as 6^3*(24^2+1), using all its digits and the basic arithmetic operations.

2¹²⁴⁶³² is an apocalyptic number.

124632 is a gapful number since it is divisible by the number (12) 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 124632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173400).

124632 is an abundant number, since it is smaller than the sum of its proper divisors (222168).

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

124632 is a wasteful number, since it uses less digits than its factorization.

124632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 124632 is about 353.0325764005. The cubic root of 124632 is about 49.9508851037.

The spelling of 124632 in words is "one hundred twenty-four thousand, six hundred thirty-two".