9780906 has 16 divisors (see below), whose sum is σ = 19641024. Its totient is φ = 3247104.

The previous prime is 9780893. The next prime is 9780931. The reversal of 9780906 is 6090879.

It is a super-2 number, since 2×9780906² = 191332244361672, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1630 + ... + 4713.

It is an arithmetic number, because the mean of its divisors is an integer number (1227564).

Almost surely, 2^9780906 is an apocalyptic number.

9780906 is an abundant number, since it is smaller than the sum of its proper divisors (9860118).

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

9780906 is a wasteful number, since it uses less digits than its factorization.

9780906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 9780906 is about 3127.4440042949. Note that the first 3 decimals coincide. The cubic root of 9780906 is about 213.8584238413.

It can be divided in two parts, 97 and 80906, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 9780906 in words is "nine million, seven hundred eighty thousand, nine hundred six".