260807040 has 448 divisors, whose sum is σ = 1030130640. Its totient is φ = 62705664.

The previous prime is 260807039. The next prime is 260807087. The reversal of 260807040 is 40708062.

It is a super-2 number, since 2×260807040² = 136040624227123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 260806995 and 260807013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6065259 + ... + 6065301.

Almost surely, 2^260807040 is an apocalyptic number.

260807040 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 260807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515065320).

260807040 is an abundant number, since it is smaller than the sum of its proper divisors (769323600).

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

260807040 is an equidigital number, since it uses as much as digits as its factorization.

260807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 260807040 is about 16149.5213551362. The cubic root of 260807040 is about 638.9101242371.

The spelling of 260807040 in words is "two hundred sixty million, eight hundred seven thousand, forty".