126637668 has 60 divisors (see below), whose sum is σ = 332515260. Its totient is φ = 42026688.

The previous prime is 126637661. The next prime is 126637727. The reversal of 126637668 is 866736621.

126637668 is a `hidden beast` number, since 1 + 2 + 6 + 637 + 6 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69755904 + 56881764 = 8352^2 + 7542^2 .

It is not an unprimeable number, because it can be changed into a prime (126637661) 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 19 ways as a sum of consecutive naturals, for example, 86430 + ... + 87882.

It is an arithmetic number, because the mean of its divisors is an integer number (5541921).

Almost surely, 2^126637668 is an apocalyptic number.

126637668 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 126637668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166257630).

126637668 is an abundant number, since it is smaller than the sum of its proper divisors (205877592).

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

126637668 is a wasteful number, since it uses less digits than its factorization.

126637668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1727 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 126637668 is about 11253.3403041053. The cubic root of 126637668 is about 502.1740902945.

The spelling of 126637668 in words is "one hundred twenty-six million, six hundred thirty-seven thousand, six hundred sixty-eight".