126062208 has 192 divisors, whose sum is σ = 395970120. Its totient is φ = 38338560.

The previous prime is 126062203. The next prime is 126062221. The reversal of 126062208 is 802260621.

It can be written as a sum of positive squares in 4 ways, for example, as 81866304 + 44195904 = 9048^2 + 6648^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (126062201) 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 23 ways as a sum of consecutive naturals, for example, 802866 + ... + 803022.

Almost surely, 2^126062208 is an apocalyptic number.

126062208 is a gapful number since it is divisible by the number (18) 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 126062208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197985060).

126062208 is an abundant number, since it is smaller than the sum of its proper divisors (269907912).

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

126062208 is a wasteful number, since it uses less digits than its factorization.

126062208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126062208 is about 11227.7427829462. The cubic root of 126062208 is about 501.4122844826.

The spelling of 126062208 in words is "one hundred twenty-six million, sixty-two thousand, two hundred eight".