9768240 has 60 divisors (see below), whose sum is σ = 32807424. Its totient is φ = 2604672.

The previous prime is 9768233. The next prime is 9768263. The reversal of 9768240 is 428679.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 9768195 and 9768204.

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, 6064 + ... + 7503.

Almost surely, 2^9768240 is an apocalyptic number.

9768240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9768240 is an abundant number, since it is smaller than the sum of its proper divisors (23039184).

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

9768240 is a wasteful number, since it uses less digits than its factorization.

9768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13586 (or 13577 counting only the distinct ones).

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

The square root of 9768240 is about 3125.4183719944. The cubic root of 9768240 is about 213.7660704035.

It can be divided in two parts, 976 and 8240, that added together give a square (9216 = 96²).

The spelling of 9768240 in words is "nine million, seven hundred sixty-eight thousand, two hundred forty".