9875040 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 2256384.

The previous prime is 9875039. The next prime is 9875057. The reversal of 9875040 is 405789.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 9874992 and 9875010.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1891 + ... + 4829.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 2^9875040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

9875040 is an abundant number, since it is smaller than the sum of its proper divisors (25687200).

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

9875040 is a wasteful number, since it uses less digits than its factorization.

9875040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 9875040 is about 3142.4576369460. The cubic root of 9875040 is about 214.5423110279.

It can be divided in two parts, 98750 and 40, that added together give a triangular number (98790 = T₄₄₄).

The spelling of 9875040 in words is "nine million, eight hundred seventy-five thousand, forty".