9006920 has 32 divisors (see below), whose sum is σ = 21825720. Its totient is φ = 3325440.

The previous prime is 9006919. The next prime is 9006929. The reversal of 9006920 is 296009.

It can be written as a sum of positive squares in 4 ways, for example, as 4605316 + 4401604 = 2146^2 + 2098^2 .

It is a super-2 number, since 2×9006920² = 162249215772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 9006920.

It is not an unprimeable number, because it can be changed into a prime (9006929) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8141 + ... + 9180.

Almost surely, 2^9006920 is an apocalyptic number.

It is an amenable number.

9006920 is an abundant number, since it is smaller than the sum of its proper divisors (12818800).

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

9006920 is a wasteful number, since it uses less digits than its factorization.

9006920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17345 (or 17341 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 9006920 is about 3001.1531117222. The cubic root of 9006920 is about 208.0616804254.

The spelling of 9006920 in words is "nine million, six thousand, nine hundred twenty".