126866944 has 40 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 62969856.

The previous prime is 126866941. The next prime is 126866947. The reversal of 126866944 is 449668621.

It is an interprime number because it is at equal distance from previous prime (126866941) and next prime (126866947).

It is a junction number, because it is equal to n+sod(n) for n = 126866894 and 126866903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126866941) 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 3 ways as a sum of consecutive naturals, for example, 75457 + ... + 77119.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^126866944 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 126866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

126866944 is an abundant number, since it is smaller than the sum of its proper divisors (128473856).

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

126866944 is an equidigital number, since it uses as much as digits as its factorization.

126866944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1814 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 126866944 is about 11263.5227171609. The cubic root of 126866944 is about 502.4769676662.

The spelling of 126866944 in words is "one hundred twenty-six million, eight hundred sixty-six thousand, nine hundred forty-four".