9766240 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 3417600.

The previous prime is 9766231. The next prime is 9766303. The reversal of 9766240 is 426679.

9766240 = T₄₁₁ + T₄₁₂ + ... + T₅₀₃.

It is a junction number, because it is equal to n+sod(n) for n = 9766196 and 9766205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54471 + ... + 54649.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^9766240 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 9766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

9766240 is an abundant number, since it is smaller than the sum of its proper divisors (16361120).

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

9766240 is a wasteful number, since it uses less digits than its factorization.

9766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

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

The square root of 9766240 is about 3125.0983984508. The cubic root of 9766240 is about 213.7514802173.

Adding to 9766240 its product of nonzero digits (18144), we get a square (9784384 = 3128²).

The spelling of 9766240 in words is "nine million, seven hundred sixty-six thousand, two hundred forty".