124768440 has 384 divisors, whose sum is σ = 480168000. Its totient is φ = 27869184.

The previous prime is 124768439. The next prime is 124768447. The reversal of 124768440 is 44867421.

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 = 124768395 and 124768404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124768447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3372102 + ... + 3372138.

Almost surely, 2^124768440 is an apocalyptic number.

124768440 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 124768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240084000).

124768440 is an abundant number, since it is smaller than the sum of its proper divisors (355399560).

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

124768440 is a wasteful number, since it uses less digits than its factorization.

124768440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 124768440 is about 11169.9794091126. The cubic root of 124768440 is about 499.6910624879.

The spelling of 124768440 in words is "one hundred twenty-four million, seven hundred sixty-eight thousand, four hundred forty".