9672640 has 56 divisors (see below), whose sum is σ = 23298912. Its totient is φ = 3824640.

The previous prime is 9672629. The next prime is 9672661. The reversal of 9672640 is 462769.

It is a junction number, because it is equal to n+sod(n) for n = 9672596 and 9672605.

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 7 ways as a sum of consecutive naturals, for example, 53350 + ... + 53530.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 2^9672640 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 9672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649456).

9672640 is an abundant number, since it is smaller than the sum of its proper divisors (13626272).

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

9672640 is a wasteful number, since it uses less digits than its factorization.

9672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 9672640 is about 3110.0868155085. The cubic root of 9672640 is about 213.0664196604.

The spelling of 9672640 in words is "nine million, six hundred seventy-two thousand, six hundred forty".