9060480 has 288 divisors, whose sum is σ = 37035180. Its totient is φ = 2027520.

The previous prime is 9060461. The next prime is 9060481. The reversal of 9060480 is 840609.

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 627264 = 2904^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (9060481) 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 35 ways as a sum of consecutive naturals, for example, 696954 + ... + 696966.

Almost surely, 2^9060480 is an apocalyptic number.

9060480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517590).

9060480 is an abundant number, since it is smaller than the sum of its proper divisors (27974700).

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

9060480 is a wasteful number, since it uses less digits than its factorization.

9060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9060480 is about 3010.0631222617. The cubic root of 9060480 is about 208.4732812578.

The spelling of 9060480 in words is "nine million, sixty thousand, four hundred eighty".