9735240 has 64 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 2511360.

The previous prime is 9735227. The next prime is 9735241. The reversal of 9735240 is 425379.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9735198 and 9735207.

It is not an unprimeable number, because it can be changed into a prime (9735241) 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, 2412 + ... + 5028.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 2^9735240 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 9735240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

9735240 is an abundant number, since it is smaller than the sum of its proper divisors (20424120).

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

9735240 is a wasteful number, since it uses less digits than its factorization.

9735240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 9735240 is about 3120.1346124807. The cubic root of 9735240 is about 213.5250771751.

The spelling of 9735240 in words is "nine million, seven hundred thirty-five thousand, two hundred forty".