126561344 has 112 divisors (see below), whose sum is σ = 319527936. Its totient is φ = 48384000.

The previous prime is 126561343. The next prime is 126561373. The reversal of 126561344 is 443165621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 126561344.

It is not an unprimeable number, because it can be changed into a prime (126561343) 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 15 ways as a sum of consecutive naturals, for example, 180194 + ... + 180894.

It is an arithmetic number, because the mean of its divisors is an integer number (2852928).

Almost surely, 2^126561344 is an apocalyptic number.

126561344 is a gapful number since it is divisible by the number (14) 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 126561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

126561344 is an abundant number, since it is smaller than the sum of its proper divisors (192966592).

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

126561344 is a wasteful number, since it uses less digits than its factorization.

126561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 126561344 is about 11249.9486221049. The cubic root of 126561344 is about 502.0731839358.

The spelling of 126561344 in words is "one hundred twenty-six million, five hundred sixty-one thousand, three hundred forty-four".