9130008960 has 320 divisors, whose sum is σ = 33230094480. Its totient is φ = 2388013056.

The previous prime is 9130008949. The next prime is 9130008973. The reversal of 9130008960 is 698000319.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2745859 + ... + 2749181.

Almost surely, 2^9130008960 is an apocalyptic number.

9130008960 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 9130008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615047240).

9130008960 is an abundant number, since it is smaller than the sum of its proper divisors (24100085520).

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

9130008960 is a wasteful number, since it uses less digits than its factorization.

9130008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9130008960 is about 95551.0803706583. The cubic root of 9130008960 is about 2090.0518870233.

The spelling of 9130008960 in words is "nine billion, one hundred thirty million, eight thousand, nine hundred sixty".