124349940 has 144 divisors (see below), whose sum is σ = 443229696. Its totient is φ = 27820800.

The previous prime is 124349881. The next prime is 124349947. The reversal of 124349940 is 49943421.

124349940 is a `hidden beast` number, since 124 + 3 + 499 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 124349895 and 124349904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124349947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23325 + ... + 28155.

It is an arithmetic number, because the mean of its divisors is an integer number (3077984).

Almost surely, 2^124349940 is an apocalyptic number.

124349940 is a gapful number since it is divisible by the number (10) 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 124349940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221614848).

124349940 is an abundant number, since it is smaller than the sum of its proper divisors (318879756).

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

124349940 is a wasteful number, since it uses less digits than its factorization.

124349940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 124349940 is about 11151.2304253836. The cubic root of 124349940 is about 499.1317464777.

The spelling of 124349940 in words is "one hundred twenty-four million, three hundred forty-nine thousand, nine hundred forty".