9705840 has 80 divisors (see below), whose sum is σ = 30929568. Its totient is φ = 2515968.

The previous prime is 9705799. The next prime is 9705847. The reversal of 9705840 is 485079.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9705847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8334 + ... + 9426.

Almost surely, 2^9705840 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 9705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464784).

9705840 is an abundant number, since it is smaller than the sum of its proper divisors (21223728).

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

9705840 is a wasteful number, since it uses less digits than its factorization.

9705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 9705840 is about 3115.4197149020. The cubic root of 9705840 is about 213.3099149641.

The spelling of 9705840 in words is "nine million, seven hundred five thousand, eight hundred forty".