9935040 has 112 divisors (see below), whose sum is σ = 32186880. Its totient is φ = 2595840.

The previous prime is 9935039. The next prime is 9935041. The reversal of 9935040 is 405399.

It is an interprime number because it is at equal distance from previous prime (9935039) and next prime (9935041).

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 = 9934989 and 9935007.

It is not an unprimeable number, because it can be changed into a prime (9935041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75775 + ... + 75905.

Almost surely, 2^9935040 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 9935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093440).

9935040 is an abundant number, since it is smaller than the sum of its proper divisors (22251840).

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

9935040 is a wasteful number, since it uses less digits than its factorization.

9935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 9935040 is about 3151.9898476994. The cubic root of 9935040 is about 214.9759482740.

The spelling of 9935040 in words is "nine million, nine hundred thirty-five thousand, forty".