9260408096 has 48 divisors (see below), whose sum is σ = 19330095960. Its totient is φ = 4351918080.

The previous prime is 9260408021. The next prime is 9260408117. The reversal of 9260408096 is 6908040629.

9260408096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6027348496 + 3233059600 = 77636^2 + 56860^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402800 + ... + 425168.

Almost surely, 2^9260408096 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 9260408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9665047980).

9260408096 is an abundant number, since it is smaller than the sum of its proper divisors (10069687864).

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

9260408096 is a wasteful number, since it uses less digits than its factorization.

9260408096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23157 (or 23149 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 9260408096 is about 96231.0142105964. The cubic root of 9260408096 is about 2099.9552595154.

The spelling of 9260408096 in words is "nine billion, two hundred sixty million, four hundred eight thousand, ninety-six".