126258816 has 64 divisors (see below), whose sum is σ = 336869280. Its totient is φ = 41899008.

The previous prime is 126258767. The next prime is 126258859. The reversal of 126258816 is 618852621.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 105775 + ... + 106961.

Almost surely, 2^126258816 is an apocalyptic number.

126258816 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 126258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168434640).

126258816 is an abundant number, since it is smaller than the sum of its proper divisors (210610464).

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

126258816 is a wasteful number, since it uses less digits than its factorization.

126258816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 126258816 is about 11236.4948271247. The cubic root of 126258816 is about 501.6728184488.

The spelling of 126258816 in words is "one hundred twenty-six million, two hundred fifty-eight thousand, eight hundred sixteen".