9845040 has 160 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 2322432.

The previous prime is 9845029. The next prime is 9845051. The reversal of 9845040 is 405489.

9845040 = 213² + 214² + ... + 339².

It is an interprime number because it is at equal distance from previous prime (9845029) and next prime (9845051).

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

It is a junction number, because it is equal to n+sod(n) for n = 9844989 and 9845007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77457 + ... + 77583.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 2^9845040 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 9845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

9845040 is an abundant number, since it is smaller than the sum of its proper divisors (24438480).

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

9845040 is a wasteful number, since it uses less digits than its factorization.

9845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 9845040 is about 3137.6806720889. The cubic root of 9845040 is about 214.3248334930.

The spelling of 9845040 in words is "nine million, eight hundred forty-five thousand, forty".