9678240 has 288 divisors, whose sum is σ = 39626496. Its totient is φ = 2119680.

The previous prime is 9678233. The next prime is 9678241. The reversal of 9678240 is 428769.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9678195 and 9678204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9678241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 205897 + ... + 205943.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^9678240 is an apocalyptic number.

9678240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

9678240 is an abundant number, since it is smaller than the sum of its proper divisors (29948256).

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

9678240 is a wasteful number, since it uses less digits than its factorization.

9678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9678240 is about 3110.9869816507. The cubic root of 9678240 is about 213.1075301797.

The spelling of 9678240 in words is "nine million, six hundred seventy-eight thousand, two hundred forty".