9506080 has 96 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 3474432.

The previous prime is 9506069. The next prime is 9506083. The reversal of 9506080 is 806059.

9506080 = T₃₁ + T₃₂ + ... + T₃₈₄.

It is not an unprimeable number, because it can be changed into a prime (9506083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161091 + ... + 161149.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 2^9506080 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 9506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

9506080 is an abundant number, since it is smaller than the sum of its proper divisors (14988320).

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

9506080 is a wasteful number, since it uses less digits than its factorization.

9506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 9506080 is about 3083.1931499664. The cubic root of 9506080 is about 211.8363516956.

The spelling of 9506080 in words is "nine million, five hundred six thousand, eighty".