126704448 has 84 divisors (see below), whose sum is σ = 391135108. Its totient is φ = 38983680.

The previous prime is 126704441. The next prime is 126704453. The reversal of 126704448 is 844407621.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 73822464 = 7272^2 + 8592^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126704441) 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 11 ways as a sum of consecutive naturals, for example, 973 + ... + 15948.

Almost surely, 2^126704448 is an apocalyptic number.

126704448 is a gapful number since it is divisible by the number (18) 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 126704448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195567554).

126704448 is an abundant number, since it is smaller than the sum of its proper divisors (264430660).

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

126704448 is a wasteful number, since it uses less digits than its factorization.

126704448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16952 (or 16939 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 126704448 is about 11256.3070320598. The cubic root of 126704448 is about 502.2623454803.

The spelling of 126704448 in words is "one hundred twenty-six million, seven hundred four thousand, four hundred forty-eight".