260347520 has 64 divisors (see below), whose sum is σ = 659032200. Its totient is φ = 98009088.

The previous prime is 260347487. The next prime is 260347531. The reversal of 260347520 is 25743062.

It can be written as a sum of positive squares in 4 ways, for example, as 248125504 + 12222016 = 15752^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085 + ... + 22844.

Almost surely, 2^260347520 is an apocalyptic number.

260347520 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 260347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329516100).

260347520 is an abundant number, since it is smaller than the sum of its proper divisors (398684680).

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

260347520 is a wasteful number, since it uses less digits than its factorization.

260347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23965 (or 23953 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 260347520 is about 16135.2880358548. The cubic root of 260347520 is about 638.5346683990.

The spelling of 260347520 in words is "two hundred sixty million, three hundred forty-seven thousand, five hundred twenty".