126406050 has 96 divisors (see below), whose sum is σ = 349531200. Its totient is φ = 30044160.

The previous prime is 126406037. The next prime is 126406051. The reversal of 126406050 is 50604621.

It is a super-3 number, since 3×126406050³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126406050.

It is not an unprimeable number, because it can be changed into a prime (126406051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47146 + ... + 49754.

It is an arithmetic number, because the mean of its divisors is an integer number (3640950).

Almost surely, 2^126406050 is an apocalyptic number.

126406050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126406050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174765600).

126406050 is an abundant number, since it is smaller than the sum of its proper divisors (223125150).

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

126406050 is a wasteful number, since it uses less digits than its factorization.

126406050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2655 counting only the distinct ones).

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

The square root of 126406050 is about 11243.0445165000. The cubic root of 126406050 is about 501.8677476830.

The spelling of 126406050 in words is "one hundred twenty-six million, four hundred six thousand, fifty".