260010640 has 80 divisors (see below), whose sum is σ = 634959360. Its totient is φ = 98887680.

The previous prime is 260010629. The next prime is 260010661. The reversal of 260010640 is 46010062.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145432 + ... + 147208.

It is an arithmetic number, because the mean of its divisors is an integer number (7936992).

Almost surely, 2^260010640 is an apocalyptic number.

260010640 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 260010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317479680).

260010640 is an abundant number, since it is smaller than the sum of its proper divisors (374948720).

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

260010640 is a wasteful number, since it uses less digits than its factorization.

260010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 260010640 is about 16124.8454256157. The cubic root of 260010640 is about 638.2591361577.

The spelling of 260010640 in words is "two hundred sixty million, ten thousand, six hundred forty".