42126966 has 144 divisors (see below), whose sum is σ = 115773840. Its totient is φ = 11430720.

The previous prime is 42126949. The next prime is 42127013. The reversal of 42126966 is 66962124.

42126966 = 288² + 289² + ... + 531².

42126966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42126966.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 690576 + ... + 690636.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2^42126966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42126966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886920).

42126966 is an abundant number, since it is smaller than the sum of its proper divisors (73646874).

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

42126966 is a wasteful number, since it uses less digits than its factorization.

42126966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42126966 is about 6490.5289460875. The cubic root of 42126966 is about 347.9525797455.

The spelling of 42126966 in words is "forty-two million, one hundred twenty-six thousand, nine hundred sixty-six".