126506020 has 12 divisors (see below), whose sum is σ = 265662684. Its totient is φ = 50602400.

The previous prime is 126506011. The next prime is 126506021. The reversal of 126506020 is 20605621.

It can be written as a sum of positive squares in 2 ways, for example, as 30935844 + 95570176 = 5562^2 + 9776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126505982 and 126506000.

It is not an unprimeable number, because it can be changed into a prime (126506021) 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 3 ways as a sum of consecutive naturals, for example, 3162631 + ... + 3162670.

It is an arithmetic number, because the mean of its divisors is an integer number (22138557).

Almost surely, 2^126506020 is an apocalyptic number.

126506020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126506020 is an abundant number, since it is smaller than the sum of its proper divisors (139156664).

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

126506020 is a wasteful number, since it uses less digits than its factorization.

126506020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325310 (or 6325308 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 126506020 is about 11247.4894976612. The cubic root of 126506020 is about 502.0000158728. Note that the first 4 decimals are identical.

The spelling of 126506020 in words is "one hundred twenty-six million, five hundred six thousand, twenty".