126305608 has 48 divisors (see below), whose sum is σ = 280361340. Its totient is φ = 52990080.

The previous prime is 126305593. The next prime is 126305609. The reversal of 126305608 is 806503621.

It can be written as a sum of positive squares in 2 ways, for example, as 116683204 + 9622404 = 10802^2 + 3102^2 .

It is a super-2 number, since 2×126305608² = 31906213224499328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126305608.

It is not an unprimeable number, because it can be changed into a prime (126305609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7566 + ... + 17602.

Almost surely, 2^126305608 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 126305608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140180670).

126305608 is an abundant number, since it is smaller than the sum of its proper divisors (154055732).

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

126305608 is a wasteful number, since it uses less digits than its factorization.

126305608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10078 (or 10063 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 126305608 is about 11238.5767782224. The cubic root of 126305608 is about 501.7347847494.

The spelling of 126305608 in words is "one hundred twenty-six million, three hundred five thousand, six hundred eight".