9665040 has 160 divisors (see below), whose sum is σ = 37426176. Its totient is φ = 2004480.

The previous prime is 9665039. The next prime is 9665041. The reversal of 9665040 is 405669.

It is an interprime number because it is at equal distance from previous prime (9665039) and next prime (9665041).

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 = 9664989 and 9665007.

It is not an unprimeable number, because it can be changed into a prime (9665041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18219 + ... + 18741.

Almost surely, 2^9665040 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 9665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18713088).

9665040 is an abundant number, since it is smaller than the sum of its proper divisors (27761136).

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

9665040 is a wasteful number, since it uses less digits than its factorization.

9665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 9665040 is about 3108.8647445651. The cubic root of 9665040 is about 213.0106014252.

It can be divided in two parts, 966 and 5040, that added together give a palindrome (6006).

The spelling of 9665040 in words is "nine million, six hundred sixty-five thousand, forty".