9891120 has 40 divisors (see below), whose sum is σ = 30663216. Its totient is φ = 2637568.

The previous prime is 9891097. The next prime is 9891121. The reversal of 9891120 is 211989.

9891120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9891121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20367 + ... + 20846.

Almost surely, 2^9891120 is an apocalyptic number.

It is an amenable number.

9891120 is an abundant number, since it is smaller than the sum of its proper divisors (20772096).

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

9891120 is a wasteful number, since it uses less digits than its factorization.

9891120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41229 (or 41223 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 9891120 is about 3145.0151033024. The cubic root of 9891120 is about 214.6586977139.

It can be divided in two parts, 9891 and 120, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 9891120 in words is "nine million, eight hundred ninety-one thousand, one hundred twenty".