9505280 has 80 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 3674112.

The previous prime is 9505277. The next prime is 9505283. The reversal of 9505280 is 825059.

It is an interprime number because it is at equal distance from previous prime (9505277) and next prime (9505283).

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9505283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120281 + ... + 120359.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 2^9505280 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 9505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

9505280 is an abundant number, since it is smaller than the sum of its proper divisors (14064640).

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

9505280 is an equidigital number, since it uses as much as digits as its factorization.

9505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 9505280 is about 3083.0634116087. The cubic root of 9505280 is about 211.8304090485.

The spelling of 9505280 in words is "nine million, five hundred five thousand, two hundred eighty".