126650016 has 72 divisors (see below), whose sum is σ = 362584404. Its totient is φ = 41932800.

The previous prime is 126650009. The next prime is 126650021. The reversal of 126650016 is 610056621.

It is a happy number.

126650016 is a `hidden beast` number, since 1 + 2 + 6 + 650 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125350416 + 1299600 = 11196^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 43816 + ... + 46616.

Almost surely, 2^126650016 is an apocalyptic number.

126650016 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 126650016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181292202).

126650016 is an abundant number, since it is smaller than the sum of its proper divisors (235934388).

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

126650016 is a wasteful number, since it uses less digits than its factorization.

126650016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 126650016 is about 11253.8889278329. Note that the first 3 decimals coincide. The cubic root of 126650016 is about 502.1904115156.

The spelling of 126650016 in words is "one hundred twenty-six million, six hundred fifty thousand, sixteen".