9045680 has 80 divisors (see below), whose sum is σ = 24909120. Its totient is φ = 2989056.

The previous prime is 9045679. The next prime is 9045689. The reversal of 9045680 is 865409.

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

It is not an unprimeable number, because it can be changed into a prime (9045689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15962 + ... + 16518.

It is an arithmetic number, because the mean of its divisors is an integer number (311364).

Almost surely, 2^9045680 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 9045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560).

9045680 is an abundant number, since it is smaller than the sum of its proper divisors (15863440).

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

9045680 is a wasteful number, since it uses less digits than its factorization.

9045680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 9045680 is about 3007.6036972979. The cubic root of 9045680 is about 208.3597079498.

The spelling of 9045680 in words is "nine million, forty-five thousand, six hundred eighty".