126348608 has 42 divisors (see below), whose sum is σ = 256784094. Its totient is φ = 61661184.

The previous prime is 126348587. The next prime is 126348671. The reversal of 126348608 is 806843621.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6927424 + 119421184 = 2632^2 + 10928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 654560 + ... + 654752.

It is an arithmetic number, because the mean of its divisors is an integer number (6113907).

Almost surely, 2^126348608 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 126348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128392047).

126348608 is an abundant number, since it is smaller than the sum of its proper divisors (130435486).

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

126348608 is an frugal number, since it uses more digits than its factorization.

126348608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 126348608 is about 11240.4896690491. The cubic root of 126348608 is about 501.7917158396.

The spelling of 126348608 in words is "one hundred twenty-six million, three hundred forty-eight thousand, six hundred eight".