126716544 has 96 divisors (see below), whose sum is σ = 377313300. Its totient is φ = 40771584.

The previous prime is 126716543. The next prime is 126716593. The reversal of 126716544 is 445617621.

It can be written as a sum of positive squares in 2 ways, for example, as 123476544 + 3240000 = 11112^2 + 1800^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126716499 and 126716508.

It is not an unprimeable number, because it can be changed into a prime (126716543) 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 11 ways as a sum of consecutive naturals, for example, 31512 + ... + 35304.

Almost surely, 2^126716544 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 126716544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188656650).

126716544 is an abundant number, since it is smaller than the sum of its proper divisors (250596756).

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

126716544 is a wasteful number, since it uses less digits than its factorization.

126716544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3827 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 126716544 is about 11256.8443180138. The cubic root of 126716544 is about 502.2783280079.

It can be divided in two parts, 126716 and 544, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 126716544 in words is "one hundred twenty-six million, seven hundred sixteen thousand, five hundred forty-four".