9966240 has 120 divisors (see below), whose sum is σ = 35218260. Its totient is φ = 2654208.

The previous prime is 9966223. The next prime is 9966251. The reversal of 9966240 is 426699.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 156816 = 3132^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 9966195 and 9966204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12576 + ... + 13344.

Almost surely, 2^9966240 is an apocalyptic number.

9966240 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 9966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17609130).

9966240 is an abundant number, since it is smaller than the sum of its proper divisors (25252020).

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

9966240 is a wasteful number, since it uses less digits than its factorization.

9966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9966240 is about 3156.9352226487. The cubic root of 9966240 is about 215.2007499410.

The spelling of 9966240 in words is "nine million, nine hundred sixty-six thousand, two hundred forty".