9640000 has 70 divisors (see below), whose sum is σ = 24003254. Its totient is φ = 3840000.

The previous prime is 9639997. The next prime is 9640021. The reversal of 9640000 is 469.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2585664 + 7054336 = 1608^2 + 2656^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 9640000.

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 9 ways as a sum of consecutive naturals, for example, 39880 + ... + 40120.

Almost surely, 2^9640000 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 9640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001627).

9640000 is an abundant number, since it is smaller than the sum of its proper divisors (14363254).

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

9640000 is an equidigital number, since it uses as much as digits as its factorization.

9640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 9640000 is about 3104.8349392520. The cubic root of 9640000 is about 212.8264877425.

Adding to 9640000 its reverse (469), we get a palindrome (9640469).

It can be divided in two parts, 9 and 640000, that multiplied together give a square (5760000 = 2400²).

The spelling of 9640000 in words is "nine million, six hundred forty thousand".