126635936 has 48 divisors (see below), whose sum is σ = 287509824. Its totient is φ = 53781504.

The previous prime is 126635917. The next prime is 126635959. The reversal of 126635936 is 639536621.

It is a junction number, because it is equal to n+sod(n) for n = 126635893 and 126635902.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22811 + ... + 27813.

It is an arithmetic number, because the mean of its divisors is an integer number (5989788).

Almost surely, 2^126635936 is an apocalyptic number.

126635936 is a gapful number since it is divisible by the number (16) 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 126635936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143754912).

126635936 is an abundant number, since it is smaller than the sum of its proper divisors (160873888).

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

126635936 is a wasteful number, since it uses less digits than its factorization.

126635936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5125 counting only the distinct ones).

The product of its digits is 174960, while the sum is 41.

The square root of 126635936 is about 11253.2633489135. The cubic root of 126635936 is about 502.1718009033.

The spelling of 126635936 in words is "one hundred twenty-six million, six hundred thirty-five thousand, nine hundred thirty-six".