9126804960 has 864 divisors, whose sum is σ = 40889040192. Its totient is φ = 1804861440.

The previous prime is 9126804899. The next prime is 9126804989. The reversal of 9126804960 is 694086219.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37870440 + ... + 37870680.

It is an arithmetic number, because the mean of its divisors is an integer number (47325278).

Almost surely, 2^9126804960 is an apocalyptic number.

9126804960 is a gapful number since it is divisible by the number (90) 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 9126804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444520096).

9126804960 is an abundant number, since it is smaller than the sum of its proper divisors (31762235232).

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

9126804960 is a wasteful number, since it uses less digits than its factorization.

9126804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9126804960 is about 95534.3129980009. The cubic root of 9126804960 is about 2089.8073706609.

The spelling of 9126804960 in words is "nine billion, one hundred twenty-six million, eight hundred four thousand, nine hundred sixty".