9045960 has 192 divisors, whose sum is σ = 34473600. Its totient is φ = 1858560.

The previous prime is 9045947. The next prime is 9045977. The reversal of 9045960 is 695409.

9045960 = T₁₀₁ + T₁₀₂ + ... + T₃₈₀.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101596 + ... + 101684.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^9045960 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 9045960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

9045960 is an abundant number, since it is smaller than the sum of its proper divisors (25427640).

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

9045960 is a wasteful number, since it uses less digits than its factorization.

9045960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 9045960 is about 3007.6502456236. The cubic root of 9045960 is about 208.3618577832.

The spelling of 9045960 in words is "nine million, forty-five thousand, nine hundred sixty".