9478560 has 288 divisors, whose sum is σ = 38610432. Its totient is φ = 1935360.

The previous prime is 9478559. The next prime is 9478583. The reversal of 9478560 is 658749.

9478560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 305745 + ... + 305775.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

Almost surely, 2^9478560 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 9478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

9478560 is an abundant number, since it is smaller than the sum of its proper divisors (29131872).

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

9478560 is a wasteful number, since it uses less digits than its factorization.

9478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 9478560 is about 3078.7270096584. The cubic root of 9478560 is about 211.6317327871.

The spelling of 9478560 in words is "nine million, four hundred seventy-eight thousand, five hundred sixty".