9505040 has 80 divisors (see below), whose sum is σ = 24306480. Its totient is φ = 3440640.

The previous prime is 9505037. The next prime is 9505063. The reversal of 9505040 is 405059.

It can be written as a sum of positive squares in 8 ways, for example, as 456976 + 9048064 = 676^2 + 3008^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9504997 and 9505015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39320 + ... + 39560.

It is an arithmetic number, because the mean of its divisors is an integer number (303831).

Almost surely, 2^9505040 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 9505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153240).

9505040 is an abundant number, since it is smaller than the sum of its proper divisors (14801440).

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

9505040 is a wasteful number, since it uses less digits than its factorization.

9505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 9505040 is about 3083.0244890367. The cubic root of 9505040 is about 211.8286261893.

The spelling of 9505040 in words is "nine million, five hundred five thousand, forty".