9505920 has 64 divisors (see below), whose sum is σ = 30306240. Its totient is φ = 2534400.

The previous prime is 9505919. The next prime is 9505927. The reversal of 9505920 is 295059.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9505927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556 + ... + 4395.

It is an arithmetic number, because the mean of its divisors is an integer number (473535).

Almost surely, 2^9505920 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 9505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153120).

9505920 is an abundant number, since it is smaller than the sum of its proper divisors (20800320).

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

9505920 is a wasteful number, since it uses less digits than its factorization.

9505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 9505920 is about 3083.1672027316. The cubic root of 9505920 is about 211.8351631928.

The spelling of 9505920 in words is "nine million, five hundred five thousand, nine hundred twenty".