126641424 has 160 divisors (see below), whose sum is σ = 408862720. Its totient is φ = 32887296.

The previous prime is 126641423. The next prime is 126641531. The reversal of 126641424 is 424146621.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 126641391 and 126641400.

It is not an unprimeable number, because it can be changed into a prime (126641423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344889 + ... + 345255.

It is an arithmetic number, because the mean of its divisors is an integer number (2555392).

Almost surely, 2^126641424 is an apocalyptic number.

126641424 is a gapful number since it is divisible by the number (14) 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 126641424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204431360).

126641424 is an abundant number, since it is smaller than the sum of its proper divisors (282221296).

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

126641424 is a wasteful number, since it uses less digits than its factorization.

126641424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 126641424 is about 11253.5071866507. The cubic root of 126641424 is about 502.1790549765.

The spelling of 126641424 in words is "one hundred twenty-six million, six hundred forty-one thousand, four hundred twenty-four".