9786240 has 96 divisors (see below), whose sum is σ = 33813000. Its totient is φ = 2608128.

The previous prime is 9786229. The next prime is 9786263. The reversal of 9786240 is 426879.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 9786195 and 9786204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4911 + ... + 6609.

Almost surely, 2^9786240 is an apocalyptic number.

9786240 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 9786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906500).

9786240 is an abundant number, since it is smaller than the sum of its proper divisors (24026760).

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

9786240 is a wasteful number, since it uses less digits than its factorization.

9786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1709 counting only the distinct ones).

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

The square root of 9786240 is about 3128.2966611241. The cubic root of 9786240 is about 213.8972925491.

The spelling of 9786240 in words is "nine million, seven hundred eighty-six thousand, two hundred forty".