126028968 has 64 divisors (see below), whose sum is σ = 341712000. Its totient is φ = 38503680.

The previous prime is 126028967. The next prime is 126029009. The reversal of 126028968 is 869820621.

It is not an unprimeable number, because it can be changed into a prime (126028963) 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 15 ways as a sum of consecutive naturals, for example, 45133 + ... + 47843.

It is an arithmetic number, because the mean of its divisors is an integer number (5339250).

Almost surely, 2^126028968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126028968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170856000).

126028968 is an abundant number, since it is smaller than the sum of its proper divisors (215683032).

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

126028968 is a wasteful number, since it uses less digits than its factorization.

126028968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 126028968 is about 11226.2624234426. The cubic root of 126028968 is about 501.3682099215.

The spelling of 126028968 in words is "one hundred twenty-six million, twenty-eight thousand, nine hundred sixty-eight".