9485382960 has 160 divisors (see below), whose sum is σ = 33160020480. Its totient is φ = 2491644672.

The previous prime is 9485382887. The next prime is 9485382961. The reversal of 9485382960 is 692835849.

9485382960 is a `hidden beast` number, since 9 + 48 + 538 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9485382897 and 9485382906.

It is not an unprimeable number, because it can be changed into a prime (9485382961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111949 + ... + 177491.

It is an arithmetic number, because the mean of its divisors is an integer number (207250128).

Almost surely, 2^9485382960 is an apocalyptic number.

9485382960 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 9485382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580010240).

9485382960 is an abundant number, since it is smaller than the sum of its proper divisors (23674637520).

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

9485382960 is a wasteful number, since it uses less digits than its factorization.

9485382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65632 (or 65620 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 9485382960 is about 97392.9307496186. The cubic root of 9485382960 is about 2116.8250029184.

The spelling of 9485382960 in words is "nine billion, four hundred eighty-five million, three hundred eighty-two thousand, nine hundred sixty".