9627920 has 20 divisors (see below), whose sum is σ = 22385100. Its totient is φ = 3851136.

The previous prime is 9627901. The next prime is 9627953. The reversal of 9627920 is 297269.

It can be written as a sum of positive squares in 2 ways, for example, as 4892944 + 4734976 = 2212^2 + 2176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×9627920³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60095 + ... + 60254.

It is an arithmetic number, because the mean of its divisors is an integer number (1119255).

Almost surely, 2^9627920 is an apocalyptic number.

It is an amenable number.

9627920 is an abundant number, since it is smaller than the sum of its proper divisors (12757180).

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

9627920 is a wasteful number, since it uses less digits than its factorization.

9627920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120362 (or 120356 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 9627920 is about 3102.8889764218. Note that the first 3 decimals coincide. The cubic root of 9627920 is about 212.7375521058.

The spelling of 9627920 in words is "nine million, six hundred twenty-seven thousand, nine hundred twenty".