126295008 has 96 divisors (see below), whose sum is σ = 381540096. Its totient is φ = 35831808.

The previous prime is 126295007. The next prime is 126295021. The reversal of 126295008 is 800592621.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126295008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126295007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108960 + ... + 110112.

It is an arithmetic number, because the mean of its divisors is an integer number (3974376).

Almost surely, 2^126295008 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 126295008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190770048).

126295008 is an abundant number, since it is smaller than the sum of its proper divisors (255245088).

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

126295008 is a wasteful number, since it uses less digits than its factorization.

126295008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 126295008 is about 11238.1051783653. The cubic root of 126295008 is about 501.7207485885.

The spelling of 126295008 in words is "one hundred twenty-six million, two hundred ninety-five thousand, eight".