260640000 has 270 divisors, whose sum is σ = 944249306. Its totient is φ = 69120000.

The previous prime is 260639999. The next prime is 260640001. The reversal of 260640000 is 46062.

260640000 is a `hidden beast` number, since 26 + 0 + 640 + 0 + 0 + 0 = 666.

260640000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260639999) and next prime (260640001).

It can be written as a sum of positive squares in 5 ways, for example, as 188457984 + 72182016 = 13728^2 + 8496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260640001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439910 + ... + 1440090.

Almost surely, 2^260640000 is an apocalyptic number.

260640000 is a gapful number since it is divisible by the number (20) 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 260640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472124653).

260640000 is an abundant number, since it is smaller than the sum of its proper divisors (683609306).

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

260640000 is an equidigital number, since it uses as much as digits as its factorization.

260640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 260640000 is about 16144.3488564885. The cubic root of 260640000 is about 638.7736934365.

Adding to 260640000 its reverse (46062), we get a palindrome (260686062).

The spelling of 260640000 in words is "two hundred sixty million, six hundred forty thousand".