9096480 has 72 divisors (see below), whose sum is σ = 31046652. Its totient is φ = 2425344.

The previous prime is 9096433. The next prime is 9096481. The reversal of 9096480 is 846909.

9096480 is a `hidden beast` number, since 9 + 0 + 9 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 24336 = 3012^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9096481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1719 + ... + 4598.

Almost surely, 2^9096480 is an apocalyptic number.

9096480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9096480 is an abundant number, since it is smaller than the sum of its proper divisors (21950172).

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

9096480 is a wasteful number, since it uses less digits than its factorization.

9096480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9096480 is about 3016.0371350499. The cubic root of 9096480 is about 208.7490252981.

The spelling of 9096480 in words is "nine million, ninety-six thousand, four hundred eighty".