9382080960 has 840 divisors, whose sum is σ = 39731685840. Its totient is φ = 2094833664.

The previous prime is 9382080943. The next prime is 9382080971. The reversal of 9382080960 is 690802839.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 119 ways as a sum of consecutive naturals, for example, 105416596 + ... + 105416684.

It is an arithmetic number, because the mean of its divisors is an integer number (47299626).

Almost surely, 2^9382080960 is an apocalyptic number.

9382080960 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 9382080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19865842920).

9382080960 is an abundant number, since it is smaller than the sum of its proper divisors (30349604880).

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

9382080960 is a wasteful number, since it uses less digits than its factorization.

9382080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

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

The square root of 9382080960 is about 96861.1426734168. The cubic root of 9382080960 is about 2109.1124019177.

The spelling of 9382080960 in words is "nine billion, three hundred eighty-two million, eighty thousand, nine hundred sixty".