9667840 has 144 divisors (see below), whose sum is σ = 28844928. Its totient is φ = 3022848.

The previous prime is 9667837. The next prime is 9667859. The reversal of 9667840 is 487669.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9667793 and 9667802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116439 + ... + 116521.

It is an arithmetic number, because the mean of its divisors is an integer number (200312).

Almost surely, 2^9667840 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 9667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422464).

9667840 is an abundant number, since it is smaller than the sum of its proper divisors (19177088).

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

9667840 is a wasteful number, since it uses less digits than its factorization.

9667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 9667840 is about 3109.3150371103. The cubic root of 9667840 is about 213.0311694414.

The spelling of 9667840 in words is "nine million, six hundred sixty-seven thousand, eight hundred forty".