9609120 has 72 divisors (see below), whose sum is σ = 32796036. Its totient is φ = 2562048.

The previous prime is 9609107. The next prime is 9609133. The reversal of 9609120 is 219069.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9609107) and next prime (9609133).

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 1245456 = 2892^2 + 1116^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1897 + ... + 4776.

Almost surely, 2^9609120 is an apocalyptic number.

9609120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9609120 is an abundant number, since it is smaller than the sum of its proper divisors (23186916).

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

9609120 is a wasteful number, since it uses less digits than its factorization.

9609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9609120 is about 3099.8580612667. The cubic root of 9609120 is about 212.5989942449.

The spelling of 9609120 in words is "nine million, six hundred nine thousand, one hundred twenty".